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Finding the Fourth Proportional to 866.17, 1,196.16 and 741.11

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Solution

The fourth proportional to 866.17, 1,196.16 and 741.11 is: 1,023.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.17 : 1,196.16 = 741.11 : x
  2. Step 2: Convert to fraction form
    866.17/1,196.16 = 741.11/x
  3. Step 3: Cross multiply
    866.17x = 1,196.16 × 741.11
  4. Step 4: Simplify right side
    866.17x = 886,486.14
  5. Step 5: Solve for x
    x = 886,486.14/866.17
  6. Step 6: Final answer
    x = 1,023.46

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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.