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Finding the Fourth Proportional to 914.43, 1,363.72 and 865.83

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Solution

The fourth proportional to 914.43, 1,363.72 and 865.83 is: 1,291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.43 : 1,363.72 = 865.83 : x
  2. Step 2: Convert to fraction form
    914.43/1,363.72 = 865.83/x
  3. Step 3: Cross multiply
    914.43x = 1,363.72 × 865.83
  4. Step 4: Simplify right side
    914.43x = 1,180,747.52
  5. Step 5: Solve for x
    x = 1,180,747.52/914.43
  6. Step 6: Final answer
    x = 1,291.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.