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Finding the Fourth Proportional to 1,023.02, 1,532.10 and 534.62

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Solution

The fourth proportional to 1,023.02, 1,532.10 and 534.62 is: 800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.02 : 1,532.10 = 534.62 : x
  2. Step 2: Convert to fraction form
    1,023.02/1,532.10 = 534.62/x
  3. Step 3: Cross multiply
    1,023.02x = 1,532.10 × 534.62
  4. Step 4: Simplify right side
    1,023.02x = 819,091.30
  5. Step 5: Solve for x
    x = 819,091.30/1,023.02
  6. Step 6: Final answer
    x = 800.66

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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.