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Finding the Fourth Proportional to 1,002.78, 1,383.81 and 560.72

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Solution

The fourth proportional to 1,002.78, 1,383.81 and 560.72 is: 773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.78 : 1,383.81 = 560.72 : x
  2. Step 2: Convert to fraction form
    1,002.78/1,383.81 = 560.72/x
  3. Step 3: Cross multiply
    1,002.78x = 1,383.81 × 560.72
  4. Step 4: Simplify right side
    1,002.78x = 775,929.94
  5. Step 5: Solve for x
    x = 775,929.94/1,002.78
  6. Step 6: Final answer
    x = 773.78

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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.