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Finding the Fourth Proportional to 1,542.50, 2,314.06 and 502.44

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Solution

The fourth proportional to 1,542.50, 2,314.06 and 502.44 is: 753.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.50 : 2,314.06 = 502.44 : x
  2. Step 2: Convert to fraction form
    1,542.50/2,314.06 = 502.44/x
  3. Step 3: Cross multiply
    1,542.50x = 2,314.06 × 502.44
  4. Step 4: Simplify right side
    1,542.50x = 1,162,676.31
  5. Step 5: Solve for x
    x = 1,162,676.31/1,542.50
  6. Step 6: Final answer
    x = 753.76

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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.