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Finding the Fourth Proportional to 1,352.65, 2,028.99 and 378.70

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Solution

The fourth proportional to 1,352.65, 2,028.99 and 378.70 is: 568.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.65 : 2,028.99 = 378.70 : x
  2. Step 2: Convert to fraction form
    1,352.65/2,028.99 = 378.70/x
  3. Step 3: Cross multiply
    1,352.65x = 2,028.99 × 378.70
  4. Step 4: Simplify right side
    1,352.65x = 768,378.51
  5. Step 5: Solve for x
    x = 768,378.51/1,352.65
  6. Step 6: Final answer
    x = 568.05

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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.