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Finding the Fourth Proportional to 890.45, 1,229.09 and 517.49

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Solution

The fourth proportional to 890.45, 1,229.09 and 517.49 is: 714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.45 : 1,229.09 = 517.49 : x
  2. Step 2: Convert to fraction form
    890.45/1,229.09 = 517.49/x
  3. Step 3: Cross multiply
    890.45x = 1,229.09 × 517.49
  4. Step 4: Simplify right side
    890.45x = 636,033.05
  5. Step 5: Solve for x
    x = 636,033.05/890.45
  6. Step 6: Final answer
    x = 714.29

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1.5x scale

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.