Home / 1,459.35-2,013.90-796.20

Finding the Fourth Proportional to 1,459.35, 2,013.90 and 796.20

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Solution

The fourth proportional to 1,459.35, 2,013.90 and 796.20 is: 1,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.35 : 2,013.90 = 796.20 : x
  2. Step 2: Convert to fraction form
    1,459.35/2,013.90 = 796.20/x
  3. Step 3: Cross multiply
    1,459.35x = 2,013.90 × 796.20
  4. Step 4: Simplify right side
    1,459.35x = 1,603,467.18
  5. Step 5: Solve for x
    x = 1,603,467.18/1,459.35
  6. Step 6: Final answer
    x = 1,098.75

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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.