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Finding the Fourth Proportional to 713.12, 984.09 and 402.62

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Solution

The fourth proportional to 713.12, 984.09 and 402.62 is: 555.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.12 : 984.09 = 402.62 : x
  2. Step 2: Convert to fraction form
    713.12/984.09 = 402.62/x
  3. Step 3: Cross multiply
    713.12x = 984.09 × 402.62
  4. Step 4: Simplify right side
    713.12x = 396,210.91
  5. Step 5: Solve for x
    x = 396,210.91/713.12
  6. Step 6: Final answer
    x = 555.61

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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.