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Finding the Fourth Proportional to 1,182.52, 1,773.81 and 316.86

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Solution

The fourth proportional to 1,182.52, 1,773.81 and 316.86 is: 475.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.52 : 1,773.81 = 316.86 : x
  2. Step 2: Convert to fraction form
    1,182.52/1,773.81 = 316.86/x
  3. Step 3: Cross multiply
    1,182.52x = 1,773.81 × 316.86
  4. Step 4: Simplify right side
    1,182.52x = 562,049.44
  5. Step 5: Solve for x
    x = 562,049.44/1,182.52
  6. Step 6: Final answer
    x = 475.30

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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.