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Finding the Fourth Proportional to 836.24, 1,153.98 and 541.68

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Solution

The fourth proportional to 836.24, 1,153.98 and 541.68 is: 747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.24 : 1,153.98 = 541.68 : x
  2. Step 2: Convert to fraction form
    836.24/1,153.98 = 541.68/x
  3. Step 3: Cross multiply
    836.24x = 1,153.98 × 541.68
  4. Step 4: Simplify right side
    836.24x = 625,087.89
  5. Step 5: Solve for x
    x = 625,087.89/836.24
  6. Step 6: Final answer
    x = 747.50

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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.