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Finding the Fourth Proportional to 1,542.05, 2,311.92 and 501.44

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Solution

The fourth proportional to 1,542.05, 2,311.92 and 501.44 is: 751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.05 : 2,311.92 = 501.44 : x
  2. Step 2: Convert to fraction form
    1,542.05/2,311.92 = 501.44/x
  3. Step 3: Cross multiply
    1,542.05x = 2,311.92 × 501.44
  4. Step 4: Simplify right side
    1,542.05x = 1,159,277.61
  5. Step 5: Solve for x
    x = 1,159,277.61/1,542.05
  6. Step 6: Final answer
    x = 751.78

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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.