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Finding the Fourth Proportional to 909.06, 1,253.97 and 559.50

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Solution

The fourth proportional to 909.06, 1,253.97 and 559.50 is: 771.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.06 : 1,253.97 = 559.50 : x
  2. Step 2: Convert to fraction form
    909.06/1,253.97 = 559.50/x
  3. Step 3: Cross multiply
    909.06x = 1,253.97 × 559.50
  4. Step 4: Simplify right side
    909.06x = 701,596.22
  5. Step 5: Solve for x
    x = 701,596.22/909.06
  6. Step 6: Final answer
    x = 771.78

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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.