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Finding the Fourth Proportional to 909.78, 1,255.14 and 559.86

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Solution

The fourth proportional to 909.78, 1,255.14 and 559.86 is: 772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.78 : 1,255.14 = 559.86 : x
  2. Step 2: Convert to fraction form
    909.78/1,255.14 = 559.86/x
  3. Step 3: Cross multiply
    909.78x = 1,255.14 × 559.86
  4. Step 4: Simplify right side
    909.78x = 702,702.68
  5. Step 5: Solve for x
    x = 702,702.68/909.78
  6. Step 6: Final answer
    x = 772.39

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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.