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Finding the Fourth Proportional to 1,039.96, 1,559.94 and 309.61

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Solution

The fourth proportional to 1,039.96, 1,559.94 and 309.61 is: 464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.96 : 1,559.94 = 309.61 : x
  2. Step 2: Convert to fraction form
    1,039.96/1,559.94 = 309.61/x
  3. Step 3: Cross multiply
    1,039.96x = 1,559.94 × 309.61
  4. Step 4: Simplify right side
    1,039.96x = 482,973.02
  5. Step 5: Solve for x
    x = 482,973.02/1,039.96
  6. Step 6: Final answer
    x = 464.42

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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.