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Finding the Fourth Proportional to 909.01, 1,255.17 and 594.55

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Solution

The fourth proportional to 909.01, 1,255.17 and 594.55 is: 820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.01 : 1,255.17 = 594.55 : x
  2. Step 2: Convert to fraction form
    909.01/1,255.17 = 594.55/x
  3. Step 3: Cross multiply
    909.01x = 1,255.17 × 594.55
  4. Step 4: Simplify right side
    909.01x = 746,261.32
  5. Step 5: Solve for x
    x = 746,261.32/909.01
  6. Step 6: Final answer
    x = 820.96

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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.