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Finding the Fourth Proportional to 691.71, 1,036.96 and 496.22

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Solution

The fourth proportional to 691.71, 1,036.96 and 496.22 is: 743.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.71 : 1,036.96 = 496.22 : x
  2. Step 2: Convert to fraction form
    691.71/1,036.96 = 496.22/x
  3. Step 3: Cross multiply
    691.71x = 1,036.96 × 496.22
  4. Step 4: Simplify right side
    691.71x = 514,556.08
  5. Step 5: Solve for x
    x = 514,556.08/691.71
  6. Step 6: Final answer
    x = 743.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.