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Finding the Fourth Proportional to 1,132.32, 1,698.72 and 482.88

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Solution

The fourth proportional to 1,132.32, 1,698.72 and 482.88 is: 724.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.32 : 1,698.72 = 482.88 : x
  2. Step 2: Convert to fraction form
    1,132.32/1,698.72 = 482.88/x
  3. Step 3: Cross multiply
    1,132.32x = 1,698.72 × 482.88
  4. Step 4: Simplify right side
    1,132.32x = 820,277.91
  5. Step 5: Solve for x
    x = 820,277.91/1,132.32
  6. Step 6: Final answer
    x = 724.42

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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.