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Finding the Fourth Proportional to 1,039.71, 1,559.62 and 309.29

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Solution

The fourth proportional to 1,039.71, 1,559.62 and 309.29 is: 463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.71 : 1,559.62 = 309.29 : x
  2. Step 2: Convert to fraction form
    1,039.71/1,559.62 = 309.29/x
  3. Step 3: Cross multiply
    1,039.71x = 1,559.62 × 309.29
  4. Step 4: Simplify right side
    1,039.71x = 482,379.31
  5. Step 5: Solve for x
    x = 482,379.31/1,039.71
  6. Step 6: Final answer
    x = 463.96

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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.