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Finding the Fourth Proportional to 788.74, 1,086.26 and 567.30

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Solution

The fourth proportional to 788.74, 1,086.26 and 567.30 is: 781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.74 : 1,086.26 = 567.30 : x
  2. Step 2: Convert to fraction form
    788.74/1,086.26 = 567.30/x
  3. Step 3: Cross multiply
    788.74x = 1,086.26 × 567.30
  4. Step 4: Simplify right side
    788.74x = 616,235.30
  5. Step 5: Solve for x
    x = 616,235.30/788.74
  6. Step 6: Final answer
    x = 781.29

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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.