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Finding the Fourth Proportional to 1,027.54, 1,538.86 and 532.62

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Solution

The fourth proportional to 1,027.54, 1,538.86 and 532.62 is: 797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.54 : 1,538.86 = 532.62 : x
  2. Step 2: Convert to fraction form
    1,027.54/1,538.86 = 532.62/x
  3. Step 3: Cross multiply
    1,027.54x = 1,538.86 × 532.62
  4. Step 4: Simplify right side
    1,027.54x = 819,627.61
  5. Step 5: Solve for x
    x = 819,627.61/1,027.54
  6. Step 6: Final answer
    x = 797.66

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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.