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Finding the Fourth Proportional to 836.14, 1,154.37 and 541.93

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Solution

The fourth proportional to 836.14, 1,154.37 and 541.93 is: 748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.14 : 1,154.37 = 541.93 : x
  2. Step 2: Convert to fraction form
    836.14/1,154.37 = 541.93/x
  3. Step 3: Cross multiply
    836.14x = 1,154.37 × 541.93
  4. Step 4: Simplify right side
    836.14x = 625,587.73
  5. Step 5: Solve for x
    x = 625,587.73/836.14
  6. Step 6: Final answer
    x = 748.19

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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.