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Finding the Fourth Proportional to 738.60, 1,107.98 and 276.60

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Solution

The fourth proportional to 738.60, 1,107.98 and 276.60 is: 414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.60 : 1,107.98 = 276.60 : x
  2. Step 2: Convert to fraction form
    738.60/1,107.98 = 276.60/x
  3. Step 3: Cross multiply
    738.60x = 1,107.98 × 276.60
  4. Step 4: Simplify right side
    738.60x = 306,467.27
  5. Step 5: Solve for x
    x = 306,467.27/738.60
  6. Step 6: Final answer
    x = 414.93

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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.