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Finding the Fourth Proportional to 891.38, 1,230.12 and 493.06

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Solution

The fourth proportional to 891.38, 1,230.12 and 493.06 is: 680.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.38 : 1,230.12 = 493.06 : x
  2. Step 2: Convert to fraction form
    891.38/1,230.12 = 493.06/x
  3. Step 3: Cross multiply
    891.38x = 1,230.12 × 493.06
  4. Step 4: Simplify right side
    891.38x = 606,522.97
  5. Step 5: Solve for x
    x = 606,522.97/891.38
  6. Step 6: Final answer
    x = 680.43

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Half scale
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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.