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Finding the Fourth Proportional to 839.27, 1,158.14 and 466.25

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Solution

The fourth proportional to 839.27, 1,158.14 and 466.25 is: 643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.27 : 1,158.14 = 466.25 : x
  2. Step 2: Convert to fraction form
    839.27/1,158.14 = 466.25/x
  3. Step 3: Cross multiply
    839.27x = 1,158.14 × 466.25
  4. Step 4: Simplify right side
    839.27x = 539,978.15
  5. Step 5: Solve for x
    x = 539,978.15/839.27
  6. Step 6: Final answer
    x = 643.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.