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Finding the Fourth Proportional to 1,187.73, 1,780.74 and 456.69

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Solution

The fourth proportional to 1,187.73, 1,780.74 and 456.69 is: 684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.73 : 1,780.74 = 456.69 : x
  2. Step 2: Convert to fraction form
    1,187.73/1,780.74 = 456.69/x
  3. Step 3: Cross multiply
    1,187.73x = 1,780.74 × 456.69
  4. Step 4: Simplify right side
    1,187.73x = 813,246.15
  5. Step 5: Solve for x
    x = 813,246.15/1,187.73
  6. Step 6: Final answer
    x = 684.71

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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.