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Finding the Fourth Proportional to 909.98, 1,254.50 and 769.53

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Solution

The fourth proportional to 909.98, 1,254.50 and 769.53 is: 1,060.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.98 : 1,254.50 = 769.53 : x
  2. Step 2: Convert to fraction form
    909.98/1,254.50 = 769.53/x
  3. Step 3: Cross multiply
    909.98x = 1,254.50 × 769.53
  4. Step 4: Simplify right side
    909.98x = 965,373.46
  5. Step 5: Solve for x
    x = 965,373.46/909.98
  6. Step 6: Final answer
    x = 1,060.88

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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.