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Finding the Fourth Proportional to 727.86, 1,004.92 and 561.78

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Solution

The fourth proportional to 727.86, 1,004.92 and 561.78 is: 775.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.86 : 1,004.92 = 561.78 : x
  2. Step 2: Convert to fraction form
    727.86/1,004.92 = 561.78/x
  3. Step 3: Cross multiply
    727.86x = 1,004.92 × 561.78
  4. Step 4: Simplify right side
    727.86x = 564,543.96
  5. Step 5: Solve for x
    x = 564,543.96/727.86
  6. Step 6: Final answer
    x = 775.62

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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.