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Finding the Fourth Proportional to 997.34, 1,376.46 and 748.25

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Solution

The fourth proportional to 997.34, 1,376.46 and 748.25 is: 1,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.34 : 1,376.46 = 748.25 : x
  2. Step 2: Convert to fraction form
    997.34/1,376.46 = 748.25/x
  3. Step 3: Cross multiply
    997.34x = 1,376.46 × 748.25
  4. Step 4: Simplify right side
    997.34x = 1,029,936.20
  5. Step 5: Solve for x
    x = 1,029,936.20/997.34
  6. Step 6: Final answer
    x = 1,032.68

Related Problems

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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.