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Finding the Fourth Proportional to 1,542.52, 2,313.51 and 502.37

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Solution

The fourth proportional to 1,542.52, 2,313.51 and 502.37 is: 753.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.52 : 2,313.51 = 502.37 : x
  2. Step 2: Convert to fraction form
    1,542.52/2,313.51 = 502.37/x
  3. Step 3: Cross multiply
    1,542.52x = 2,313.51 × 502.37
  4. Step 4: Simplify right side
    1,542.52x = 1,162,238.02
  5. Step 5: Solve for x
    x = 1,162,238.02/1,542.52
  6. Step 6: Final answer
    x = 753.47

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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.