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Finding the Fourth Proportional to 1,047.28, 1,571.34 and 560.20

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Solution

The fourth proportional to 1,047.28, 1,571.34 and 560.20 is: 840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.28 : 1,571.34 = 560.20 : x
  2. Step 2: Convert to fraction form
    1,047.28/1,571.34 = 560.20/x
  3. Step 3: Cross multiply
    1,047.28x = 1,571.34 × 560.20
  4. Step 4: Simplify right side
    1,047.28x = 880,264.67
  5. Step 5: Solve for x
    x = 880,264.67/1,047.28
  6. Step 6: Final answer
    x = 840.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.