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Finding the Fourth Proportional to 614.37, 925.20 and 560.10

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Solution

The fourth proportional to 614.37, 925.20 and 560.10 is: 843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.37 : 925.20 = 560.10 : x
  2. Step 2: Convert to fraction form
    614.37/925.20 = 560.10/x
  3. Step 3: Cross multiply
    614.37x = 925.20 × 560.10
  4. Step 4: Simplify right side
    614.37x = 518,204.52
  5. Step 5: Solve for x
    x = 518,204.52/614.37
  6. Step 6: Final answer
    x = 843.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.