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Finding the Fourth Proportional to 709.48, 978.85 and 461.13

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Solution

The fourth proportional to 709.48, 978.85 and 461.13 is: 636.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.48 : 978.85 = 461.13 : x
  2. Step 2: Convert to fraction form
    709.48/978.85 = 461.13/x
  3. Step 3: Cross multiply
    709.48x = 978.85 × 461.13
  4. Step 4: Simplify right side
    709.48x = 451,377.10
  5. Step 5: Solve for x
    x = 451,377.10/709.48
  6. Step 6: Final answer
    x = 636.21

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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.