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Finding the Fourth Proportional to 727.67, 1,004.57 and 561.52

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Solution

The fourth proportional to 727.67, 1,004.57 and 561.52 is: 775.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.67 : 1,004.57 = 561.52 : x
  2. Step 2: Convert to fraction form
    727.67/1,004.57 = 561.52/x
  3. Step 3: Cross multiply
    727.67x = 1,004.57 × 561.52
  4. Step 4: Simplify right side
    727.67x = 564,086.15
  5. Step 5: Solve for x
    x = 564,086.15/727.67
  6. Step 6: Final answer
    x = 775.20

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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.