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Finding the Fourth Proportional to 1,039.44, 1,559.38 and 309.06

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Solution

The fourth proportional to 1,039.44, 1,559.38 and 309.06 is: 463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.44 : 1,559.38 = 309.06 : x
  2. Step 2: Convert to fraction form
    1,039.44/1,559.38 = 309.06/x
  3. Step 3: Cross multiply
    1,039.44x = 1,559.38 × 309.06
  4. Step 4: Simplify right side
    1,039.44x = 481,941.98
  5. Step 5: Solve for x
    x = 481,941.98/1,039.44
  6. Step 6: Final answer
    x = 463.66

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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.