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Finding the Fourth Proportional to 1,149.33, 1,724.19 and 499.71

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Solution

The fourth proportional to 1,149.33, 1,724.19 and 499.71 is: 749.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.33 : 1,724.19 = 499.71 : x
  2. Step 2: Convert to fraction form
    1,149.33/1,724.19 = 499.71/x
  3. Step 3: Cross multiply
    1,149.33x = 1,724.19 × 499.71
  4. Step 4: Simplify right side
    1,149.33x = 861,594.98
  5. Step 5: Solve for x
    x = 861,594.98/1,149.33
  6. Step 6: Final answer
    x = 749.65

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Double scale
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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.