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Finding the Fourth Proportional to 837.83, 1,251.27 and 700.99

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Solution

The fourth proportional to 837.83, 1,251.27 and 700.99 is: 1,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.83 : 1,251.27 = 700.99 : x
  2. Step 2: Convert to fraction form
    837.83/1,251.27 = 700.99/x
  3. Step 3: Cross multiply
    837.83x = 1,251.27 × 700.99
  4. Step 4: Simplify right side
    837.83x = 877,127.76
  5. Step 5: Solve for x
    x = 877,127.76/837.83
  6. Step 6: Final answer
    x = 1,046.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.