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Finding the Fourth Proportional to 1,132.95, 1,699.41 and 311.21

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Solution

The fourth proportional to 1,132.95, 1,699.41 and 311.21 is: 466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.95 : 1,699.41 = 311.21 : x
  2. Step 2: Convert to fraction form
    1,132.95/1,699.41 = 311.21/x
  3. Step 3: Cross multiply
    1,132.95x = 1,699.41 × 311.21
  4. Step 4: Simplify right side
    1,132.95x = 528,872.43
  5. Step 5: Solve for x
    x = 528,872.43/1,132.95
  6. Step 6: Final answer
    x = 466.81

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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.