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Finding the Fourth Proportional to 1,023.62, 1,534.89 and 365.41

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Solution

The fourth proportional to 1,023.62, 1,534.89 and 365.41 is: 547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.62 : 1,534.89 = 365.41 : x
  2. Step 2: Convert to fraction form
    1,023.62/1,534.89 = 365.41/x
  3. Step 3: Cross multiply
    1,023.62x = 1,534.89 × 365.41
  4. Step 4: Simplify right side
    1,023.62x = 560,856.48
  5. Step 5: Solve for x
    x = 560,856.48/1,023.62
  6. Step 6: Final answer
    x = 547.91

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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.