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Finding the Fourth Proportional to 869.81, 1,200.34 and 471.47

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Solution

The fourth proportional to 869.81, 1,200.34 and 471.47 is: 650.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.81 : 1,200.34 = 471.47 : x
  2. Step 2: Convert to fraction form
    869.81/1,200.34 = 471.47/x
  3. Step 3: Cross multiply
    869.81x = 1,200.34 × 471.47
  4. Step 4: Simplify right side
    869.81x = 565,921.94
  5. Step 5: Solve for x
    x = 565,921.94/869.81
  6. Step 6: Final answer
    x = 650.63

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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.