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Finding the Fourth Proportional to 891.64, 1,337.20 and 314.68

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Solution

The fourth proportional to 891.64, 1,337.20 and 314.68 is: 471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.64 : 1,337.20 = 314.68 : x
  2. Step 2: Convert to fraction form
    891.64/1,337.20 = 314.68/x
  3. Step 3: Cross multiply
    891.64x = 1,337.20 × 314.68
  4. Step 4: Simplify right side
    891.64x = 420,790.10
  5. Step 5: Solve for x
    x = 420,790.10/891.64
  6. Step 6: Final answer
    x = 471.93

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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.