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Finding the Fourth Proportional to 1,187.71, 1,781.41 and 365.91

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Solution

The fourth proportional to 1,187.71, 1,781.41 and 365.91 is: 548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.71 : 1,781.41 = 365.91 : x
  2. Step 2: Convert to fraction form
    1,187.71/1,781.41 = 365.91/x
  3. Step 3: Cross multiply
    1,187.71x = 1,781.41 × 365.91
  4. Step 4: Simplify right side
    1,187.71x = 651,835.73
  5. Step 5: Solve for x
    x = 651,835.73/1,187.71
  6. Step 6: Final answer
    x = 548.82

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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.