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Finding the Fourth Proportional to 1,149.88, 1,723.38 and 572.92

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Solution

The fourth proportional to 1,149.88, 1,723.38 and 572.92 is: 858.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.88 : 1,723.38 = 572.92 : x
  2. Step 2: Convert to fraction form
    1,149.88/1,723.38 = 572.92/x
  3. Step 3: Cross multiply
    1,149.88x = 1,723.38 × 572.92
  4. Step 4: Simplify right side
    1,149.88x = 987,358.87
  5. Step 5: Solve for x
    x = 987,358.87/1,149.88
  6. Step 6: Final answer
    x = 858.66

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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.