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Finding the Fourth Proportional to 663.76, 915.16 and 545.32

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Solution

The fourth proportional to 663.76, 915.16 and 545.32 is: 751.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.76 : 915.16 = 545.32 : x
  2. Step 2: Convert to fraction form
    663.76/915.16 = 545.32/x
  3. Step 3: Cross multiply
    663.76x = 915.16 × 545.32
  4. Step 4: Simplify right side
    663.76x = 499,055.05
  5. Step 5: Solve for x
    x = 499,055.05/663.76
  6. Step 6: Final answer
    x = 751.86

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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.