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Finding the Fourth Proportional to 966.52, 1,448.22 and 534.04

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Solution

The fourth proportional to 966.52, 1,448.22 and 534.04 is: 800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.52 : 1,448.22 = 534.04 : x
  2. Step 2: Convert to fraction form
    966.52/1,448.22 = 534.04/x
  3. Step 3: Cross multiply
    966.52x = 1,448.22 × 534.04
  4. Step 4: Simplify right side
    966.52x = 773,407.41
  5. Step 5: Solve for x
    x = 773,407.41/966.52
  6. Step 6: Final answer
    x = 800.20

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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.