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Finding the Fourth Proportional to 780.27, 1,076.75 and 426.18

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Solution

The fourth proportional to 780.27, 1,076.75 and 426.18 is: 588.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.27 : 1,076.75 = 426.18 : x
  2. Step 2: Convert to fraction form
    780.27/1,076.75 = 426.18/x
  3. Step 3: Cross multiply
    780.27x = 1,076.75 × 426.18
  4. Step 4: Simplify right side
    780.27x = 458,892.19
  5. Step 5: Solve for x
    x = 458,892.19/780.27
  6. Step 6: Final answer
    x = 588.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.