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Finding the Fourth Proportional to 749.15, 1,123.06 and 310.12

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Solution

The fourth proportional to 749.15, 1,123.06 and 310.12 is: 464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.15 : 1,123.06 = 310.12 : x
  2. Step 2: Convert to fraction form
    749.15/1,123.06 = 310.12/x
  3. Step 3: Cross multiply
    749.15x = 1,123.06 × 310.12
  4. Step 4: Simplify right side
    749.15x = 348,283.37
  5. Step 5: Solve for x
    x = 348,283.37/749.15
  6. Step 6: Final answer
    x = 464.90

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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.