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Finding the Fourth Proportional to 648.96, 892.80 and 565.76

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Solution

The fourth proportional to 648.96, 892.80 and 565.76 is: 778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.96 : 892.80 = 565.76 : x
  2. Step 2: Convert to fraction form
    648.96/892.80 = 565.76/x
  3. Step 3: Cross multiply
    648.96x = 892.80 × 565.76
  4. Step 4: Simplify right side
    648.96x = 505,110.53
  5. Step 5: Solve for x
    x = 505,110.53/648.96
  6. Step 6: Final answer
    x = 778.34

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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.