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Finding the Fourth Proportional to 748.70, 1,123.04 and 442.50

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Solution

The fourth proportional to 748.70, 1,123.04 and 442.50 is: 663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.70 : 1,123.04 = 442.50 : x
  2. Step 2: Convert to fraction form
    748.70/1,123.04 = 442.50/x
  3. Step 3: Cross multiply
    748.70x = 1,123.04 × 442.50
  4. Step 4: Simplify right side
    748.70x = 496,942.99
  5. Step 5: Solve for x
    x = 496,942.99/748.70
  6. Step 6: Final answer
    x = 663.75

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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.