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Finding the Fourth Proportional to 1,187.70, 1,781.14 and 407.49

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Solution

The fourth proportional to 1,187.70, 1,781.14 and 407.49 is: 611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.70 : 1,781.14 = 407.49 : x
  2. Step 2: Convert to fraction form
    1,187.70/1,781.14 = 407.49/x
  3. Step 3: Cross multiply
    1,187.70x = 1,781.14 × 407.49
  4. Step 4: Simplify right side
    1,187.70x = 725,796.74
  5. Step 5: Solve for x
    x = 725,796.74/1,187.70
  6. Step 6: Final answer
    x = 611.09

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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.