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Finding the Fourth Proportional to 1,132.82, 1,698.90 and 311.12

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Solution

The fourth proportional to 1,132.82, 1,698.90 and 311.12 is: 466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.82 : 1,698.90 = 311.12 : x
  2. Step 2: Convert to fraction form
    1,132.82/1,698.90 = 311.12/x
  3. Step 3: Cross multiply
    1,132.82x = 1,698.90 × 311.12
  4. Step 4: Simplify right side
    1,132.82x = 528,562.93
  5. Step 5: Solve for x
    x = 528,562.93/1,132.82
  6. Step 6: Final answer
    x = 466.59

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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.