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Finding the Fourth Proportional to 880.49, 1,215.09 and 487.52

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Solution

The fourth proportional to 880.49, 1,215.09 and 487.52 is: 672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.49 : 1,215.09 = 487.52 : x
  2. Step 2: Convert to fraction form
    880.49/1,215.09 = 487.52/x
  3. Step 3: Cross multiply
    880.49x = 1,215.09 × 487.52
  4. Step 4: Simplify right side
    880.49x = 592,375.82
  5. Step 5: Solve for x
    x = 592,375.82/880.49
  6. Step 6: Final answer
    x = 672.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.