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Finding the Fourth Proportional to 738.63, 1,107.89 and 252.02

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Solution

The fourth proportional to 738.63, 1,107.89 and 252.02 is: 378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.63 : 1,107.89 = 252.02 : x
  2. Step 2: Convert to fraction form
    738.63/1,107.89 = 252.02/x
  3. Step 3: Cross multiply
    738.63x = 1,107.89 × 252.02
  4. Step 4: Simplify right side
    738.63x = 279,214.31
  5. Step 5: Solve for x
    x = 279,214.31/738.63
  6. Step 6: Final answer
    x = 378.02

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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.