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Finding the Fourth Proportional to 837.14, 1,253.88 and 594.74

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Solution

The fourth proportional to 837.14, 1,253.88 and 594.74 is: 890.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.14 : 1,253.88 = 594.74 : x
  2. Step 2: Convert to fraction form
    837.14/1,253.88 = 594.74/x
  3. Step 3: Cross multiply
    837.14x = 1,253.88 × 594.74
  4. Step 4: Simplify right side
    837.14x = 745,735.73
  5. Step 5: Solve for x
    x = 745,735.73/837.14
  6. Step 6: Final answer
    x = 890.82

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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.