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Finding the Fourth Proportional to 786.27, 1,086.38 and 564.78

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Solution

The fourth proportional to 786.27, 1,086.38 and 564.78 is: 780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.27 : 1,086.38 = 564.78 : x
  2. Step 2: Convert to fraction form
    786.27/1,086.38 = 564.78/x
  3. Step 3: Cross multiply
    786.27x = 1,086.38 × 564.78
  4. Step 4: Simplify right side
    786.27x = 613,565.70
  5. Step 5: Solve for x
    x = 613,565.70/786.27
  6. Step 6: Final answer
    x = 780.35

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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.