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Finding the Fourth Proportional to 1,327.46, 1,830.24 and 854.54

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Solution

The fourth proportional to 1,327.46, 1,830.24 and 854.54 is: 1,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.46 : 1,830.24 = 854.54 : x
  2. Step 2: Convert to fraction form
    1,327.46/1,830.24 = 854.54/x
  3. Step 3: Cross multiply
    1,327.46x = 1,830.24 × 854.54
  4. Step 4: Simplify right side
    1,327.46x = 1,564,013.29
  5. Step 5: Solve for x
    x = 1,564,013.29/1,327.46
  6. Step 6: Final answer
    x = 1,178.20

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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.