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Finding the Fourth Proportional to 837.12, 1,155.96 and 663.24

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Solution

The fourth proportional to 837.12, 1,155.96 and 663.24 is: 915.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.12 : 1,155.96 = 663.24 : x
  2. Step 2: Convert to fraction form
    837.12/1,155.96 = 663.24/x
  3. Step 3: Cross multiply
    837.12x = 1,155.96 × 663.24
  4. Step 4: Simplify right side
    837.12x = 766,678.91
  5. Step 5: Solve for x
    x = 766,678.91/837.12
  6. Step 6: Final answer
    x = 915.85

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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.