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Finding the Fourth Proportional to 749.20, 1,123.04 and 309.84

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Solution

The fourth proportional to 749.20, 1,123.04 and 309.84 is: 464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.20 : 1,123.04 = 309.84 : x
  2. Step 2: Convert to fraction form
    749.20/1,123.04 = 309.84/x
  3. Step 3: Cross multiply
    749.20x = 1,123.04 × 309.84
  4. Step 4: Simplify right side
    749.20x = 347,965.01
  5. Step 5: Solve for x
    x = 347,965.01/749.20
  6. Step 6: Final answer
    x = 464.45

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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.