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Finding the Fourth Proportional to 1,149.62, 1,724.99 and 491.31

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Solution

The fourth proportional to 1,149.62, 1,724.99 and 491.31 is: 737.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.62 : 1,724.99 = 491.31 : x
  2. Step 2: Convert to fraction form
    1,149.62/1,724.99 = 491.31/x
  3. Step 3: Cross multiply
    1,149.62x = 1,724.99 × 491.31
  4. Step 4: Simplify right side
    1,149.62x = 847,502.38
  5. Step 5: Solve for x
    x = 847,502.38/1,149.62
  6. Step 6: Final answer
    x = 737.21

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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.