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Finding the Fourth Proportional to 909.11, 1,254.96 and 614.78

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Solution

The fourth proportional to 909.11, 1,254.96 and 614.78 is: 848.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.11 : 1,254.96 = 614.78 : x
  2. Step 2: Convert to fraction form
    909.11/1,254.96 = 614.78/x
  3. Step 3: Cross multiply
    909.11x = 1,254.96 × 614.78
  4. Step 4: Simplify right side
    909.11x = 771,524.31
  5. Step 5: Solve for x
    x = 771,524.31/909.11
  6. Step 6: Final answer
    x = 848.66

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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.