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Finding the Fourth Proportional to 865.84, 1,191.72 and 741.04

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Solution

The fourth proportional to 865.84, 1,191.72 and 741.04 is: 1,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.84 : 1,191.72 = 741.04 : x
  2. Step 2: Convert to fraction form
    865.84/1,191.72 = 741.04/x
  3. Step 3: Cross multiply
    865.84x = 1,191.72 × 741.04
  4. Step 4: Simplify right side
    865.84x = 883,112.19
  5. Step 5: Solve for x
    x = 883,112.19/865.84
  6. Step 6: Final answer
    x = 1,019.95

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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.