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Finding the Fourth Proportional to 1,085.13, 1,627.97 and 964.31

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Solution

The fourth proportional to 1,085.13, 1,627.97 and 964.31 is: 1,446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.13 : 1,627.97 = 964.31 : x
  2. Step 2: Convert to fraction form
    1,085.13/1,627.97 = 964.31/x
  3. Step 3: Cross multiply
    1,085.13x = 1,627.97 × 964.31
  4. Step 4: Simplify right side
    1,085.13x = 1,569,854.79
  5. Step 5: Solve for x
    x = 1,569,854.79/1,085.13
  6. Step 6: Final answer
    x = 1,446.70

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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.