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Finding the Fourth Proportional to 1,047.24, 1,571.46 and 560.56

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Solution

The fourth proportional to 1,047.24, 1,571.46 and 560.56 is: 841.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.24 : 1,571.46 = 560.56 : x
  2. Step 2: Convert to fraction form
    1,047.24/1,571.46 = 560.56/x
  3. Step 3: Cross multiply
    1,047.24x = 1,571.46 × 560.56
  4. Step 4: Simplify right side
    1,047.24x = 880,897.62
  5. Step 5: Solve for x
    x = 880,897.62/1,047.24
  6. Step 6: Final answer
    x = 841.16

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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.