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Finding the Fourth Proportional to 749.66, 1,124.84 and 311.22

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Solution

The fourth proportional to 749.66, 1,124.84 and 311.22 is: 466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.66 : 1,124.84 = 311.22 : x
  2. Step 2: Convert to fraction form
    749.66/1,124.84 = 311.22/x
  3. Step 3: Cross multiply
    749.66x = 1,124.84 × 311.22
  4. Step 4: Simplify right side
    749.66x = 350,068.57
  5. Step 5: Solve for x
    x = 350,068.57/749.66
  6. Step 6: Final answer
    x = 466.97

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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.