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Finding the Fourth Proportional to 781.43, 1,171.80 and 370.08

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Solution

The fourth proportional to 781.43, 1,171.80 and 370.08 is: 554.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.43 : 1,171.80 = 370.08 : x
  2. Step 2: Convert to fraction form
    781.43/1,171.80 = 370.08/x
  3. Step 3: Cross multiply
    781.43x = 1,171.80 × 370.08
  4. Step 4: Simplify right side
    781.43x = 433,659.74
  5. Step 5: Solve for x
    x = 433,659.74/781.43
  6. Step 6: Final answer
    x = 554.96

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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.