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Finding the Fourth Proportional to 614.18, 925.49 and 586.37

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Solution

The fourth proportional to 614.18, 925.49 and 586.37 is: 883.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.18 : 925.49 = 586.37 : x
  2. Step 2: Convert to fraction form
    614.18/925.49 = 586.37/x
  3. Step 3: Cross multiply
    614.18x = 925.49 × 586.37
  4. Step 4: Simplify right side
    614.18x = 542,672.01
  5. Step 5: Solve for x
    x = 542,672.01/614.18
  6. Step 6: Final answer
    x = 883.58

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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.