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Finding the Fourth Proportional to 1,349.72, 2,023.62 and 691.79

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Solution

The fourth proportional to 1,349.72, 2,023.62 and 691.79 is: 1,037.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.72 : 2,023.62 = 691.79 : x
  2. Step 2: Convert to fraction form
    1,349.72/2,023.62 = 691.79/x
  3. Step 3: Cross multiply
    1,349.72x = 2,023.62 × 691.79
  4. Step 4: Simplify right side
    1,349.72x = 1,399,920.08
  5. Step 5: Solve for x
    x = 1,399,920.08/1,349.72
  6. Step 6: Final answer
    x = 1,037.19

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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.