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Finding the Fourth Proportional to 1,255.65, 1,882.94 and 390.03

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Solution

The fourth proportional to 1,255.65, 1,882.94 and 390.03 is: 584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.65 : 1,882.94 = 390.03 : x
  2. Step 2: Convert to fraction form
    1,255.65/1,882.94 = 390.03/x
  3. Step 3: Cross multiply
    1,255.65x = 1,882.94 × 390.03
  4. Step 4: Simplify right side
    1,255.65x = 734,401.14
  5. Step 5: Solve for x
    x = 734,401.14/1,255.65
  6. Step 6: Final answer
    x = 584.88

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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.