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Finding the Fourth Proportional to 1,039.44, 1,559.28 and 309.12

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Solution

The fourth proportional to 1,039.44, 1,559.28 and 309.12 is: 463.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.44 : 1,559.28 = 309.12 : x
  2. Step 2: Convert to fraction form
    1,039.44/1,559.28 = 309.12/x
  3. Step 3: Cross multiply
    1,039.44x = 1,559.28 × 309.12
  4. Step 4: Simplify right side
    1,039.44x = 482,004.63
  5. Step 5: Solve for x
    x = 482,004.63/1,039.44
  6. Step 6: Final answer
    x = 463.72

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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.