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Finding the Fourth Proportional to 865.94, 1,189.17 and 741.60

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Solution

The fourth proportional to 865.94, 1,189.17 and 741.60 is: 1,018.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.94 : 1,189.17 = 741.60 : x
  2. Step 2: Convert to fraction form
    865.94/1,189.17 = 741.60/x
  3. Step 3: Cross multiply
    865.94x = 1,189.17 × 741.60
  4. Step 4: Simplify right side
    865.94x = 881,888.47
  5. Step 5: Solve for x
    x = 881,888.47/865.94
  6. Step 6: Final answer
    x = 1,018.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.