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Finding the Fourth Proportional to 1,349.71, 2,024.21 and 691.21

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Solution

The fourth proportional to 1,349.71, 2,024.21 and 691.21 is: 1,036.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.71 : 2,024.21 = 691.21 : x
  2. Step 2: Convert to fraction form
    1,349.71/2,024.21 = 691.21/x
  3. Step 3: Cross multiply
    1,349.71x = 2,024.21 × 691.21
  4. Step 4: Simplify right side
    1,349.71x = 1,399,150.86
  5. Step 5: Solve for x
    x = 1,399,150.86/1,349.71
  6. Step 6: Final answer
    x = 1,036.63

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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.