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Finding the Fourth Proportional to 919.66, 1,269.33 and 565.88

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Solution

The fourth proportional to 919.66, 1,269.33 and 565.88 is: 781.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.66 : 1,269.33 = 565.88 : x
  2. Step 2: Convert to fraction form
    919.66/1,269.33 = 565.88/x
  3. Step 3: Cross multiply
    919.66x = 1,269.33 × 565.88
  4. Step 4: Simplify right side
    919.66x = 718,290.93
  5. Step 5: Solve for x
    x = 718,290.93/919.66
  6. Step 6: Final answer
    x = 781.04

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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.