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Finding the Fourth Proportional to 869.80, 1,200.33 and 471.46

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Solution

The fourth proportional to 869.80, 1,200.33 and 471.46 is: 650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.80 : 1,200.33 = 471.46 : x
  2. Step 2: Convert to fraction form
    869.80/1,200.33 = 471.46/x
  3. Step 3: Cross multiply
    869.80x = 1,200.33 × 471.46
  4. Step 4: Simplify right side
    869.80x = 565,907.31
  5. Step 5: Solve for x
    x = 565,907.31/869.80
  6. Step 6: Final answer
    x = 650.62

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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.