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Finding the Fourth Proportional to 972.32, 1,458.75 and 539.78

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Solution

The fourth proportional to 972.32, 1,458.75 and 539.78 is: 809.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.32 : 1,458.75 = 539.78 : x
  2. Step 2: Convert to fraction form
    972.32/1,458.75 = 539.78/x
  3. Step 3: Cross multiply
    972.32x = 1,458.75 × 539.78
  4. Step 4: Simplify right side
    972.32x = 787,404.08
  5. Step 5: Solve for x
    x = 787,404.08/972.32
  6. Step 6: Final answer
    x = 809.82

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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.