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Finding the Fourth Proportional to 832.10, 1,248.18 and 637.38

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Solution

The fourth proportional to 832.10, 1,248.18 and 637.38 is: 956.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.10 : 1,248.18 = 637.38 : x
  2. Step 2: Convert to fraction form
    832.10/1,248.18 = 637.38/x
  3. Step 3: Cross multiply
    832.10x = 1,248.18 × 637.38
  4. Step 4: Simplify right side
    832.10x = 795,564.97
  5. Step 5: Solve for x
    x = 795,564.97/832.10
  6. Step 6: Final answer
    x = 956.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.