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Finding the Fourth Proportional to 1,187.84, 1,781.48 and 668.06

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Solution

The fourth proportional to 1,187.84, 1,781.48 and 668.06 is: 1,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.84 : 1,781.48 = 668.06 : x
  2. Step 2: Convert to fraction form
    1,187.84/1,781.48 = 668.06/x
  3. Step 3: Cross multiply
    1,187.84x = 1,781.48 × 668.06
  4. Step 4: Simplify right side
    1,187.84x = 1,190,135.53
  5. Step 5: Solve for x
    x = 1,190,135.53/1,187.84
  6. Step 6: Final answer
    x = 1,001.93

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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.