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Finding the Fourth Proportional to 884.77, 1,327.56 and 337.08

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Solution

The fourth proportional to 884.77, 1,327.56 and 337.08 is: 505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.77 : 1,327.56 = 337.08 : x
  2. Step 2: Convert to fraction form
    884.77/1,327.56 = 337.08/x
  3. Step 3: Cross multiply
    884.77x = 1,327.56 × 337.08
  4. Step 4: Simplify right side
    884.77x = 447,487.29
  5. Step 5: Solve for x
    x = 447,487.29/884.77
  6. Step 6: Final answer
    x = 505.77

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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.