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Finding the Fourth Proportional to 1,133.89, 1,700.61 and 311.96

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Solution

The fourth proportional to 1,133.89, 1,700.61 and 311.96 is: 467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.89 : 1,700.61 = 311.96 : x
  2. Step 2: Convert to fraction form
    1,133.89/1,700.61 = 311.96/x
  3. Step 3: Cross multiply
    1,133.89x = 1,700.61 × 311.96
  4. Step 4: Simplify right side
    1,133.89x = 530,522.30
  5. Step 5: Solve for x
    x = 530,522.30/1,133.89
  6. Step 6: Final answer
    x = 467.88

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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.