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Finding the Fourth Proportional to 1,002.24, 1,383.16 and 560.13

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Solution

The fourth proportional to 1,002.24, 1,383.16 and 560.13 is: 773.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.24 : 1,383.16 = 560.13 : x
  2. Step 2: Convert to fraction form
    1,002.24/1,383.16 = 560.13/x
  3. Step 3: Cross multiply
    1,002.24x = 1,383.16 × 560.13
  4. Step 4: Simplify right side
    1,002.24x = 774,751.65
  5. Step 5: Solve for x
    x = 774,751.65/1,002.24
  6. Step 6: Final answer
    x = 773.02

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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.