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Finding the Fourth Proportional to 836.87, 1,252.09 and 471.93

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Solution

The fourth proportional to 836.87, 1,252.09 and 471.93 is: 706.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.87 : 1,252.09 = 471.93 : x
  2. Step 2: Convert to fraction form
    836.87/1,252.09 = 471.93/x
  3. Step 3: Cross multiply
    836.87x = 1,252.09 × 471.93
  4. Step 4: Simplify right side
    836.87x = 590,894.73
  5. Step 5: Solve for x
    x = 590,894.73/836.87
  6. Step 6: Final answer
    x = 706.08

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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.