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Finding the Fourth Proportional to 869.75, 1,200.24 and 476.80

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Solution

The fourth proportional to 869.75, 1,200.24 and 476.80 is: 657.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.75 : 1,200.24 = 476.80 : x
  2. Step 2: Convert to fraction form
    869.75/1,200.24 = 476.80/x
  3. Step 3: Cross multiply
    869.75x = 1,200.24 × 476.80
  4. Step 4: Simplify right side
    869.75x = 572,274.43
  5. Step 5: Solve for x
    x = 572,274.43/869.75
  6. Step 6: Final answer
    x = 657.98

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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.