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Finding the Fourth Proportional to 886.92, 1,224.08 and 532.88

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Solution

The fourth proportional to 886.92, 1,224.08 and 532.88 is: 735.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.92 : 1,224.08 = 532.88 : x
  2. Step 2: Convert to fraction form
    886.92/1,224.08 = 532.88/x
  3. Step 3: Cross multiply
    886.92x = 1,224.08 × 532.88
  4. Step 4: Simplify right side
    886.92x = 652,287.75
  5. Step 5: Solve for x
    x = 652,287.75/886.92
  6. Step 6: Final answer
    x = 735.45

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Why These Related Problems?

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