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Finding the Fourth Proportional to 1,255.32, 1,882.80 and 377.82

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Solution

The fourth proportional to 1,255.32, 1,882.80 and 377.82 is: 566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.32 : 1,882.80 = 377.82 : x
  2. Step 2: Convert to fraction form
    1,255.32/1,882.80 = 377.82/x
  3. Step 3: Cross multiply
    1,255.32x = 1,882.80 × 377.82
  4. Step 4: Simplify right side
    1,255.32x = 711,359.50
  5. Step 5: Solve for x
    x = 711,359.50/1,255.32
  6. Step 6: Final answer
    x = 566.68

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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.