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Finding the Fourth Proportional to 890.75, 1,229.51 and 559.17

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Solution

The fourth proportional to 890.75, 1,229.51 and 559.17 is: 771.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.75 : 1,229.51 = 559.17 : x
  2. Step 2: Convert to fraction form
    890.75/1,229.51 = 559.17/x
  3. Step 3: Cross multiply
    890.75x = 1,229.51 × 559.17
  4. Step 4: Simplify right side
    890.75x = 687,502.31
  5. Step 5: Solve for x
    x = 687,502.31/890.75
  6. Step 6: Final answer
    x = 771.82

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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.