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Finding the Fourth Proportional to 1,187.63, 1,781.43 and 407.71

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Solution

The fourth proportional to 1,187.63, 1,781.43 and 407.71 is: 611.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.63 : 1,781.43 = 407.71 : x
  2. Step 2: Convert to fraction form
    1,187.63/1,781.43 = 407.71/x
  3. Step 3: Cross multiply
    1,187.63x = 1,781.43 × 407.71
  4. Step 4: Simplify right side
    1,187.63x = 726,306.83
  5. Step 5: Solve for x
    x = 726,306.83/1,187.63
  6. Step 6: Final answer
    x = 611.56

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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.