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Finding the Fourth Proportional to 869.48, 1,200.24 and 538.28

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Solution

The fourth proportional to 869.48, 1,200.24 and 538.28 is: 743.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.48 : 1,200.24 = 538.28 : x
  2. Step 2: Convert to fraction form
    869.48/1,200.24 = 538.28/x
  3. Step 3: Cross multiply
    869.48x = 1,200.24 × 538.28
  4. Step 4: Simplify right side
    869.48x = 646,065.19
  5. Step 5: Solve for x
    x = 646,065.19/869.48
  6. Step 6: Final answer
    x = 743.05

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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.