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Finding the Fourth Proportional to 860.69, 1,187.28 and 743.15

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Solution

The fourth proportional to 860.69, 1,187.28 and 743.15 is: 1,025.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.69 : 1,187.28 = 743.15 : x
  2. Step 2: Convert to fraction form
    860.69/1,187.28 = 743.15/x
  3. Step 3: Cross multiply
    860.69x = 1,187.28 × 743.15
  4. Step 4: Simplify right side
    860.69x = 882,321.20
  5. Step 5: Solve for x
    x = 882,321.20/860.69
  6. Step 6: Final answer
    x = 1,025.14

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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.