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Finding the Fourth Proportional to 846.32, 1,167.96 and 531.52

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Solution

The fourth proportional to 846.32, 1,167.96 and 531.52 is: 733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.32 : 1,167.96 = 531.52 : x
  2. Step 2: Convert to fraction form
    846.32/1,167.96 = 531.52/x
  3. Step 3: Cross multiply
    846.32x = 1,167.96 × 531.52
  4. Step 4: Simplify right side
    846.32x = 620,794.10
  5. Step 5: Solve for x
    x = 620,794.10/846.32
  6. Step 6: Final answer
    x = 733.52

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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.