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Finding the Fourth Proportional to 691.29, 1,036.03 and 344.41

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Solution

The fourth proportional to 691.29, 1,036.03 and 344.41 is: 516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.29 : 1,036.03 = 344.41 : x
  2. Step 2: Convert to fraction form
    691.29/1,036.03 = 344.41/x
  3. Step 3: Cross multiply
    691.29x = 1,036.03 × 344.41
  4. Step 4: Simplify right side
    691.29x = 356,818.72
  5. Step 5: Solve for x
    x = 356,818.72/691.29
  6. Step 6: Final answer
    x = 516.16

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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.