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Finding the Fourth Proportional to 718.67, 991.31 and 497.75

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Solution

The fourth proportional to 718.67, 991.31 and 497.75 is: 686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.67 : 991.31 = 497.75 : x
  2. Step 2: Convert to fraction form
    718.67/991.31 = 497.75/x
  3. Step 3: Cross multiply
    718.67x = 991.31 × 497.75
  4. Step 4: Simplify right side
    718.67x = 493,417.11
  5. Step 5: Solve for x
    x = 493,417.11/718.67
  6. Step 6: Final answer
    x = 686.57

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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.