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Finding the Fourth Proportional to 1,182.12, 1,773.09 and 488.61

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Solution

The fourth proportional to 1,182.12, 1,773.09 and 488.61 is: 732.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.12 : 1,773.09 = 488.61 : x
  2. Step 2: Convert to fraction form
    1,182.12/1,773.09 = 488.61/x
  3. Step 3: Cross multiply
    1,182.12x = 1,773.09 × 488.61
  4. Step 4: Simplify right side
    1,182.12x = 866,349.50
  5. Step 5: Solve for x
    x = 866,349.50/1,182.12
  6. Step 6: Final answer
    x = 732.88

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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.