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Finding the Fourth Proportional to 716.10, 988.24 and 506.65

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Solution

The fourth proportional to 716.10, 988.24 and 506.65 is: 699.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.10 : 988.24 = 506.65 : x
  2. Step 2: Convert to fraction form
    716.10/988.24 = 506.65/x
  3. Step 3: Cross multiply
    716.10x = 988.24 × 506.65
  4. Step 4: Simplify right side
    716.10x = 500,691.80
  5. Step 5: Solve for x
    x = 500,691.80/716.10
  6. Step 6: Final answer
    x = 699.19

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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.