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Finding the Fourth Proportional to 1,349.71, 2,023.36 and 691.22

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Solution

The fourth proportional to 1,349.71, 2,023.36 and 691.22 is: 1,036.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.71 : 2,023.36 = 691.22 : x
  2. Step 2: Convert to fraction form
    1,349.71/2,023.36 = 691.22/x
  3. Step 3: Cross multiply
    1,349.71x = 2,023.36 × 691.22
  4. Step 4: Simplify right side
    1,349.71x = 1,398,575.05
  5. Step 5: Solve for x
    x = 1,398,575.05/1,349.71
  6. Step 6: Final answer
    x = 1,036.21

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Why These Related Problems?

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