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Finding the Fourth Proportional to 1,385.47, 1,912.31 and 965.89

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Solution

The fourth proportional to 1,385.47, 1,912.31 and 965.89 is: 1,333.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.47 : 1,912.31 = 965.89 : x
  2. Step 2: Convert to fraction form
    1,385.47/1,912.31 = 965.89/x
  3. Step 3: Cross multiply
    1,385.47x = 1,912.31 × 965.89
  4. Step 4: Simplify right side
    1,385.47x = 1,847,081.11
  5. Step 5: Solve for x
    x = 1,847,081.11/1,385.47
  6. Step 6: Final answer
    x = 1,333.18

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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.