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Finding the Fourth Proportional to 1,133.14, 1,699.49 and 311.21

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Solution

The fourth proportional to 1,133.14, 1,699.49 and 311.21 is: 466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.14 : 1,699.49 = 311.21 : x
  2. Step 2: Convert to fraction form
    1,133.14/1,699.49 = 311.21/x
  3. Step 3: Cross multiply
    1,133.14x = 1,699.49 × 311.21
  4. Step 4: Simplify right side
    1,133.14x = 528,890.56
  5. Step 5: Solve for x
    x = 528,890.56/1,133.14
  6. Step 6: Final answer
    x = 466.75

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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.