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Finding the Fourth Proportional to 890.80, 1,229.53 and 517.74

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Solution

The fourth proportional to 890.80, 1,229.53 and 517.74 is: 714.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.80 : 1,229.53 = 517.74 : x
  2. Step 2: Convert to fraction form
    890.80/1,229.53 = 517.74/x
  3. Step 3: Cross multiply
    890.80x = 1,229.53 × 517.74
  4. Step 4: Simplify right side
    890.80x = 636,578.84
  5. Step 5: Solve for x
    x = 636,578.84/890.80
  6. Step 6: Final answer
    x = 714.62

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Double scale
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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.