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Finding the Fourth Proportional to 836.12, 1,252.58 and 469.80

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Solution

The fourth proportional to 836.12, 1,252.58 and 469.80 is: 703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.12 : 1,252.58 = 469.80 : x
  2. Step 2: Convert to fraction form
    836.12/1,252.58 = 469.80/x
  3. Step 3: Cross multiply
    836.12x = 1,252.58 × 469.80
  4. Step 4: Simplify right side
    836.12x = 588,462.08
  5. Step 5: Solve for x
    x = 588,462.08/836.12
  6. Step 6: Final answer
    x = 703.80

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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.