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Finding the Fourth Proportional to 1,096.38, 1,512.57 and 723.55

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Solution

The fourth proportional to 1,096.38, 1,512.57 and 723.55 is: 998.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.38 : 1,512.57 = 723.55 : x
  2. Step 2: Convert to fraction form
    1,096.38/1,512.57 = 723.55/x
  3. Step 3: Cross multiply
    1,096.38x = 1,512.57 × 723.55
  4. Step 4: Simplify right side
    1,096.38x = 1,094,420.02
  5. Step 5: Solve for x
    x = 1,094,420.02/1,096.38
  6. Step 6: Final answer
    x = 998.21

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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.