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Finding the Fourth Proportional to 1,459.35, 2,013.88 and 796.19

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Solution

The fourth proportional to 1,459.35, 2,013.88 and 796.19 is: 1,098.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.35 : 2,013.88 = 796.19 : x
  2. Step 2: Convert to fraction form
    1,459.35/2,013.88 = 796.19/x
  3. Step 3: Cross multiply
    1,459.35x = 2,013.88 × 796.19
  4. Step 4: Simplify right side
    1,459.35x = 1,603,431.12
  5. Step 5: Solve for x
    x = 1,603,431.12/1,459.35
  6. Step 6: Final answer
    x = 1,098.73

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,460.35, 2,015.26 and 797.19
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.