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Finding the Fourth Proportional to 773.92, 1,066.72 and 663.52

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Solution

The fourth proportional to 773.92, 1,066.72 and 663.52 is: 914.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.92 : 1,066.72 = 663.52 : x
  2. Step 2: Convert to fraction form
    773.92/1,066.72 = 663.52/x
  3. Step 3: Cross multiply
    773.92x = 1,066.72 × 663.52
  4. Step 4: Simplify right side
    773.92x = 707,790.05
  5. Step 5: Solve for x
    x = 707,790.05/773.92
  6. Step 6: Final answer
    x = 914.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.