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Finding the Fourth Proportional to 874.28, 1,206.97 and 560.00

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Solution

The fourth proportional to 874.28, 1,206.97 and 560.00 is: 773.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.28 : 1,206.97 = 560.00 : x
  2. Step 2: Convert to fraction form
    874.28/1,206.97 = 560.00/x
  3. Step 3: Cross multiply
    874.28x = 1,206.97 × 560.00
  4. Step 4: Simplify right side
    874.28x = 675,904.82
  5. Step 5: Solve for x
    x = 675,904.82/874.28
  6. Step 6: Final answer
    x = 773.10

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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.