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Finding the Fourth Proportional to 1,030.20, 1,543.94 and 892.61

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Solution

The fourth proportional to 1,030.20, 1,543.94 and 892.61 is: 1,337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.20 : 1,543.94 = 892.61 : x
  2. Step 2: Convert to fraction form
    1,030.20/1,543.94 = 892.61/x
  3. Step 3: Cross multiply
    1,030.20x = 1,543.94 × 892.61
  4. Step 4: Simplify right side
    1,030.20x = 1,378,127.96
  5. Step 5: Solve for x
    x = 1,378,127.96/1,030.20
  6. Step 6: Final answer
    x = 1,337.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.