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Finding the Fourth Proportional to 1,133.61, 1,700.17 and 311.80

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Solution

The fourth proportional to 1,133.61, 1,700.17 and 311.80 is: 467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.61 : 1,700.17 = 311.80 : x
  2. Step 2: Convert to fraction form
    1,133.61/1,700.17 = 311.80/x
  3. Step 3: Cross multiply
    1,133.61x = 1,700.17 × 311.80
  4. Step 4: Simplify right side
    1,133.61x = 530,107.98
  5. Step 5: Solve for x
    x = 530,107.98/1,133.61
  6. Step 6: Final answer
    x = 467.63

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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.