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Finding the Fourth Proportional to 908.73, 1,253.84 and 594.05

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Solution

The fourth proportional to 908.73, 1,253.84 and 594.05 is: 819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.73 : 1,253.84 = 594.05 : x
  2. Step 2: Convert to fraction form
    908.73/1,253.84 = 594.05/x
  3. Step 3: Cross multiply
    908.73x = 1,253.84 × 594.05
  4. Step 4: Simplify right side
    908.73x = 744,834.41
  5. Step 5: Solve for x
    x = 744,834.41/908.73
  6. Step 6: Final answer
    x = 819.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.