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Finding the Fourth Proportional to 1,180.72, 1,771.14 and 400.75

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Solution

The fourth proportional to 1,180.72, 1,771.14 and 400.75 is: 601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.72 : 1,771.14 = 400.75 : x
  2. Step 2: Convert to fraction form
    1,180.72/1,771.14 = 400.75/x
  3. Step 3: Cross multiply
    1,180.72x = 1,771.14 × 400.75
  4. Step 4: Simplify right side
    1,180.72x = 709,781.43
  5. Step 5: Solve for x
    x = 709,781.43/1,180.72
  6. Step 6: Final answer
    x = 601.14

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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.