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Finding the Fourth Proportional to 1,041.44, 1,562.36 and 311.09

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Solution

The fourth proportional to 1,041.44, 1,562.36 and 311.09 is: 466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.44 : 1,562.36 = 311.09 : x
  2. Step 2: Convert to fraction form
    1,041.44/1,562.36 = 311.09/x
  3. Step 3: Cross multiply
    1,041.44x = 1,562.36 × 311.09
  4. Step 4: Simplify right side
    1,041.44x = 486,025.21
  5. Step 5: Solve for x
    x = 486,025.21/1,041.44
  6. Step 6: Final answer
    x = 466.69

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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.