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Finding the Fourth Proportional to 1,003.96, 1,505.80 and 311.10

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Solution

The fourth proportional to 1,003.96, 1,505.80 and 311.10 is: 466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.96 : 1,505.80 = 311.10 : x
  2. Step 2: Convert to fraction form
    1,003.96/1,505.80 = 311.10/x
  3. Step 3: Cross multiply
    1,003.96x = 1,505.80 × 311.10
  4. Step 4: Simplify right side
    1,003.96x = 468,452.82
  5. Step 5: Solve for x
    x = 468,452.82/1,003.96
  6. Step 6: Final answer
    x = 466.61

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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.