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Finding the Fourth Proportional to 1,029, 1,543.52 and 480.88

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Solution

The fourth proportional to 1,029, 1,543.52 and 480.88 is: 721.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029 : 1,543.52 = 480.88 : x
  2. Step 2: Convert to fraction form
    1,029/1,543.52 = 480.88/x
  3. Step 3: Cross multiply
    1,029x = 1,543.52 × 480.88
  4. Step 4: Simplify right side
    1,029x = 742,247.90
  5. Step 5: Solve for x
    x = 742,247.90/1,029
  6. Step 6: Final answer
    x = 721.33

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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.