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Finding the Fourth Proportional to 1,459.35, 2,013.84 and 796.17

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Solution

The fourth proportional to 1,459.35, 2,013.84 and 796.17 is: 1,098.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.35 : 2,013.84 = 796.17 : x
  2. Step 2: Convert to fraction form
    1,459.35/2,013.84 = 796.17/x
  3. Step 3: Cross multiply
    1,459.35x = 2,013.84 × 796.17
  4. Step 4: Simplify right side
    1,459.35x = 1,603,358.99
  5. Step 5: Solve for x
    x = 1,603,358.99/1,459.35
  6. Step 6: Final answer
    x = 1,098.68

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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.