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Finding the Fourth Proportional to 748.89, 1,123.84 and 287.05

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Solution

The fourth proportional to 748.89, 1,123.84 and 287.05 is: 430.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.89 : 1,123.84 = 287.05 : x
  2. Step 2: Convert to fraction form
    748.89/1,123.84 = 287.05/x
  3. Step 3: Cross multiply
    748.89x = 1,123.84 × 287.05
  4. Step 4: Simplify right side
    748.89x = 322,598.27
  5. Step 5: Solve for x
    x = 322,598.27/748.89
  6. Step 6: Final answer
    x = 430.77

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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.