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Finding the Fourth Proportional to 836, 1,252.86 and 470.96

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Solution

The fourth proportional to 836, 1,252.86 and 470.96 is: 705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    836 : 1,252.86 = 470.96 : x
  2. Step 2: Convert to fraction form
    836/1,252.86 = 470.96/x
  3. Step 3: Cross multiply
    836x = 1,252.86 × 470.96
  4. Step 4: Simplify right side
    836x = 590,046.95
  5. Step 5: Solve for x
    x = 590,046.95/836
  6. Step 6: Final answer
    x = 705.80

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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.