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Finding the Fourth Proportional to 1,133.58, 1,700.37 and 311.97

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Solution

The fourth proportional to 1,133.58, 1,700.37 and 311.97 is: 467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.58 : 1,700.37 = 311.97 : x
  2. Step 2: Convert to fraction form
    1,133.58/1,700.37 = 311.97/x
  3. Step 3: Cross multiply
    1,133.58x = 1,700.37 × 311.97
  4. Step 4: Simplify right side
    1,133.58x = 530,470.81
  5. Step 5: Solve for x
    x = 530,470.81/1,133.58
  6. Step 6: Final answer
    x = 467.96

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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.