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Finding the Fourth Proportional to 1,187.68, 1,782 and 537.76

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Solution

The fourth proportional to 1,187.68, 1,782 and 537.76 is: 806.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.68 : 1,782 = 537.76 : x
  2. Step 2: Convert to fraction form
    1,187.68/1,782 = 537.76/x
  3. Step 3: Cross multiply
    1,187.68x = 1,782 × 537.76
  4. Step 4: Simplify right side
    1,187.68x = 958,288.32
  5. Step 5: Solve for x
    x = 958,288.32/1,187.68
  6. Step 6: Final answer
    x = 806.86

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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.