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Finding the Fourth Proportional to 869.80, 1,201.06 and 754.60

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Solution

The fourth proportional to 869.80, 1,201.06 and 754.60 is: 1,041.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.80 : 1,201.06 = 754.60 : x
  2. Step 2: Convert to fraction form
    869.80/1,201.06 = 754.60/x
  3. Step 3: Cross multiply
    869.80x = 1,201.06 × 754.60
  4. Step 4: Simplify right side
    869.80x = 906,319.88
  5. Step 5: Solve for x
    x = 906,319.88/869.80
  6. Step 6: Final answer
    x = 1,041.99

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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.