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Finding the Fourth Proportional to 1,039.61, 1,559.42 and 309.19

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Solution

The fourth proportional to 1,039.61, 1,559.42 and 309.19 is: 463.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.61 : 1,559.42 = 309.19 : x
  2. Step 2: Convert to fraction form
    1,039.61/1,559.42 = 309.19/x
  3. Step 3: Cross multiply
    1,039.61x = 1,559.42 × 309.19
  4. Step 4: Simplify right side
    1,039.61x = 482,157.07
  5. Step 5: Solve for x
    x = 482,157.07/1,039.61
  6. Step 6: Final answer
    x = 463.79

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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.