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Finding the Fourth Proportional to 1,002.75, 1,383.86 and 560.66

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Solution

The fourth proportional to 1,002.75, 1,383.86 and 560.66 is: 773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.75 : 1,383.86 = 560.66 : x
  2. Step 2: Convert to fraction form
    1,002.75/1,383.86 = 560.66/x
  3. Step 3: Cross multiply
    1,002.75x = 1,383.86 × 560.66
  4. Step 4: Simplify right side
    1,002.75x = 775,870.22
  5. Step 5: Solve for x
    x = 775,870.22/1,002.75
  6. Step 6: Final answer
    x = 773.74

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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.