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Finding the Fourth Proportional to 716.02, 1,072.88 and 532.48

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Solution

The fourth proportional to 716.02, 1,072.88 and 532.48 is: 797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.02 : 1,072.88 = 532.48 : x
  2. Step 2: Convert to fraction form
    716.02/1,072.88 = 532.48/x
  3. Step 3: Cross multiply
    716.02x = 1,072.88 × 532.48
  4. Step 4: Simplify right side
    716.02x = 571,287.14
  5. Step 5: Solve for x
    x = 571,287.14/716.02
  6. Step 6: Final answer
    x = 797.86

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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.