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Finding the Fourth Proportional to 748.90, 1,123.37 and 338.32

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Solution

The fourth proportional to 748.90, 1,123.37 and 338.32 is: 507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.90 : 1,123.37 = 338.32 : x
  2. Step 2: Convert to fraction form
    748.90/1,123.37 = 338.32/x
  3. Step 3: Cross multiply
    748.90x = 1,123.37 × 338.32
  4. Step 4: Simplify right side
    748.90x = 380,058.54
  5. Step 5: Solve for x
    x = 380,058.54/748.90
  6. Step 6: Final answer
    x = 507.49

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.