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Finding the Fourth Proportional to 825.29, 1,138.65 and 471.20

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Solution

The fourth proportional to 825.29, 1,138.65 and 471.20 is: 650.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.29 : 1,138.65 = 471.20 : x
  2. Step 2: Convert to fraction form
    825.29/1,138.65 = 471.20/x
  3. Step 3: Cross multiply
    825.29x = 1,138.65 × 471.20
  4. Step 4: Simplify right side
    825.29x = 536,531.88
  5. Step 5: Solve for x
    x = 536,531.88/825.29
  6. Step 6: Final answer
    x = 650.11

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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.