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Finding the Fourth Proportional to 836.40, 1,251.63 and 543.72

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Solution

The fourth proportional to 836.40, 1,251.63 and 543.72 is: 813.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.40 : 1,251.63 = 543.72 : x
  2. Step 2: Convert to fraction form
    836.40/1,251.63 = 543.72/x
  3. Step 3: Cross multiply
    836.40x = 1,251.63 × 543.72
  4. Step 4: Simplify right side
    836.40x = 680,536.26
  5. Step 5: Solve for x
    x = 680,536.26/836.40
  6. Step 6: Final answer
    x = 813.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.