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Finding the Fourth Proportional to 1,027.47, 1,544.45 and 892.20

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Solution

The fourth proportional to 1,027.47, 1,544.45 and 892.20 is: 1,341.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.47 : 1,544.45 = 892.20 : x
  2. Step 2: Convert to fraction form
    1,027.47/1,544.45 = 892.20/x
  3. Step 3: Cross multiply
    1,027.47x = 1,544.45 × 892.20
  4. Step 4: Simplify right side
    1,027.47x = 1,377,958.29
  5. Step 5: Solve for x
    x = 1,377,958.29/1,027.47
  6. Step 6: Final answer
    x = 1,341.12

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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.