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Finding the Fourth Proportional to 1,385.98, 1,913.28 and 882.04

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Solution

The fourth proportional to 1,385.98, 1,913.28 and 882.04 is: 1,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.98 : 1,913.28 = 882.04 : x
  2. Step 2: Convert to fraction form
    1,385.98/1,913.28 = 882.04/x
  3. Step 3: Cross multiply
    1,385.98x = 1,913.28 × 882.04
  4. Step 4: Simplify right side
    1,385.98x = 1,687,589.49
  5. Step 5: Solve for x
    x = 1,687,589.49/1,385.98
  6. Step 6: Final answer
    x = 1,217.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.