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Finding the Fourth Proportional to 1,039.87, 1,560 and 309.38

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Solution

The fourth proportional to 1,039.87, 1,560 and 309.38 is: 464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.87 : 1,560 = 309.38 : x
  2. Step 2: Convert to fraction form
    1,039.87/1,560 = 309.38/x
  3. Step 3: Cross multiply
    1,039.87x = 1,560 × 309.38
  4. Step 4: Simplify right side
    1,039.87x = 482,632.80
  5. Step 5: Solve for x
    x = 482,632.80/1,039.87
  6. Step 6: Final answer
    x = 464.13

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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.