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Finding the Fourth Proportional to 1,040.27, 1,560.20 and 309.68

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Solution

The fourth proportional to 1,040.27, 1,560.20 and 309.68 is: 464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.27 : 1,560.20 = 309.68 : x
  2. Step 2: Convert to fraction form
    1,040.27/1,560.20 = 309.68/x
  3. Step 3: Cross multiply
    1,040.27x = 1,560.20 × 309.68
  4. Step 4: Simplify right side
    1,040.27x = 483,162.74
  5. Step 5: Solve for x
    x = 483,162.74/1,040.27
  6. Step 6: Final answer
    x = 464.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.