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Finding the Fourth Proportional to 891.96, 1,337.94 and 314.70

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Solution

The fourth proportional to 891.96, 1,337.94 and 314.70 is: 472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.96 : 1,337.94 = 314.70 : x
  2. Step 2: Convert to fraction form
    891.96/1,337.94 = 314.70/x
  3. Step 3: Cross multiply
    891.96x = 1,337.94 × 314.70
  4. Step 4: Simplify right side
    891.96x = 421,049.72
  5. Step 5: Solve for x
    x = 421,049.72/891.96
  6. Step 6: Final answer
    x = 472.05

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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.