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Finding the Fourth Proportional to 836.46, 1,154.01 and 541.89

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Solution

The fourth proportional to 836.46, 1,154.01 and 541.89 is: 747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.46 : 1,154.01 = 541.89 : x
  2. Step 2: Convert to fraction form
    836.46/1,154.01 = 541.89/x
  3. Step 3: Cross multiply
    836.46x = 1,154.01 × 541.89
  4. Step 4: Simplify right side
    836.46x = 625,343.77
  5. Step 5: Solve for x
    x = 625,343.77/836.46
  6. Step 6: Final answer
    x = 747.61

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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.