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Finding the Fourth Proportional to 997.38, 1,496.94 and 510.70

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Solution

The fourth proportional to 997.38, 1,496.94 and 510.70 is: 766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.38 : 1,496.94 = 510.70 : x
  2. Step 2: Convert to fraction form
    997.38/1,496.94 = 510.70/x
  3. Step 3: Cross multiply
    997.38x = 1,496.94 × 510.70
  4. Step 4: Simplify right side
    997.38x = 764,487.26
  5. Step 5: Solve for x
    x = 764,487.26/997.38
  6. Step 6: Final answer
    x = 766.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.