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Finding the Fourth Proportional to 839.22, 1,158.12 and 466.23

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Solution

The fourth proportional to 839.22, 1,158.12 and 466.23 is: 643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.22 : 1,158.12 = 466.23 : x
  2. Step 2: Convert to fraction form
    839.22/1,158.12 = 466.23/x
  3. Step 3: Cross multiply
    839.22x = 1,158.12 × 466.23
  4. Step 4: Simplify right side
    839.22x = 539,952.46
  5. Step 5: Solve for x
    x = 539,952.46/839.22
  6. Step 6: Final answer
    x = 643.40

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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.