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Finding the Fourth Proportional to 972.24, 1,456.92 and 539.52

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Solution

The fourth proportional to 972.24, 1,456.92 and 539.52 is: 808.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.24 : 1,456.92 = 539.52 : x
  2. Step 2: Convert to fraction form
    972.24/1,456.92 = 539.52/x
  3. Step 3: Cross multiply
    972.24x = 1,456.92 × 539.52
  4. Step 4: Simplify right side
    972.24x = 786,037.48
  5. Step 5: Solve for x
    x = 786,037.48/972.24
  6. Step 6: Final answer
    x = 808.48

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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.