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Finding the Fourth Proportional to 691.07, 1,034.19 and 496.29

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Solution

The fourth proportional to 691.07, 1,034.19 and 496.29 is: 742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.07 : 1,034.19 = 496.29 : x
  2. Step 2: Convert to fraction form
    691.07/1,034.19 = 496.29/x
  3. Step 3: Cross multiply
    691.07x = 1,034.19 × 496.29
  4. Step 4: Simplify right side
    691.07x = 513,258.16
  5. Step 5: Solve for x
    x = 513,258.16/691.07
  6. Step 6: Final answer
    x = 742.70

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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.