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Finding the Fourth Proportional to 1,039.93, 1,560.12 and 309.57

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Solution

The fourth proportional to 1,039.93, 1,560.12 and 309.57 is: 464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.93 : 1,560.12 = 309.57 : x
  2. Step 2: Convert to fraction form
    1,039.93/1,560.12 = 309.57/x
  3. Step 3: Cross multiply
    1,039.93x = 1,560.12 × 309.57
  4. Step 4: Simplify right side
    1,039.93x = 482,966.35
  5. Step 5: Solve for x
    x = 482,966.35/1,039.93
  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.