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Finding the Fourth Proportional to 869.70, 1,200.75 and 538.59

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Solution

The fourth proportional to 869.70, 1,200.75 and 538.59 is: 743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.70 : 1,200.75 = 538.59 : x
  2. Step 2: Convert to fraction form
    869.70/1,200.75 = 538.59/x
  3. Step 3: Cross multiply
    869.70x = 1,200.75 × 538.59
  4. Step 4: Simplify right side
    869.70x = 646,711.94
  5. Step 5: Solve for x
    x = 646,711.94/869.70
  6. Step 6: Final answer
    x = 743.60

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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.