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Finding the Fourth Proportional to 1,600.27, 2,400 and 560.23

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Solution

The fourth proportional to 1,600.27, 2,400 and 560.23 is: 840.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.27 : 2,400 = 560.23 : x
  2. Step 2: Convert to fraction form
    1,600.27/2,400 = 560.23/x
  3. Step 3: Cross multiply
    1,600.27x = 2,400 × 560.23
  4. Step 4: Simplify right side
    1,600.27x = 1,344,552
  5. Step 5: Solve for x
    x = 1,344,552/1,600.27
  6. Step 6: Final answer
    x = 840.20

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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.