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Finding the Fourth Proportional to 909.04, 1,254.92 and 614.20

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Solution

The fourth proportional to 909.04, 1,254.92 and 614.20 is: 847.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.04 : 1,254.92 = 614.20 : x
  2. Step 2: Convert to fraction form
    909.04/1,254.92 = 614.20/x
  3. Step 3: Cross multiply
    909.04x = 1,254.92 × 614.20
  4. Step 4: Simplify right side
    909.04x = 770,771.86
  5. Step 5: Solve for x
    x = 770,771.86/909.04
  6. Step 6: Final answer
    x = 847.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.