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Finding the Fourth Proportional to 832.89, 1,248.29 and 422.13

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Solution

The fourth proportional to 832.89, 1,248.29 and 422.13 is: 632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.89 : 1,248.29 = 422.13 : x
  2. Step 2: Convert to fraction form
    832.89/1,248.29 = 422.13/x
  3. Step 3: Cross multiply
    832.89x = 1,248.29 × 422.13
  4. Step 4: Simplify right side
    832.89x = 526,938.55
  5. Step 5: Solve for x
    x = 526,938.55/832.89
  6. Step 6: Final answer
    x = 632.66

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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.