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Finding the Fourth Proportional to 663.68, 916.80 and 631.28

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Solution

The fourth proportional to 663.68, 916.80 and 631.28 is: 872.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.68 : 916.80 = 631.28 : x
  2. Step 2: Convert to fraction form
    663.68/916.80 = 631.28/x
  3. Step 3: Cross multiply
    663.68x = 916.80 × 631.28
  4. Step 4: Simplify right side
    663.68x = 578,757.50
  5. Step 5: Solve for x
    x = 578,757.50/663.68
  6. Step 6: Final answer
    x = 872.04

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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.