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Finding the Fourth Proportional to 869.54, 1,199.97 and 471.20

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Solution

The fourth proportional to 869.54, 1,199.97 and 471.20 is: 650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.54 : 1,199.97 = 471.20 : x
  2. Step 2: Convert to fraction form
    869.54/1,199.97 = 471.20/x
  3. Step 3: Cross multiply
    869.54x = 1,199.97 × 471.20
  4. Step 4: Simplify right side
    869.54x = 565,430.36
  5. Step 5: Solve for x
    x = 565,430.36/869.54
  6. Step 6: Final answer
    x = 650.26

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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.