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Finding the Fourth Proportional to 1,007.20, 1,512.60 and 733.60

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Solution

The fourth proportional to 1,007.20, 1,512.60 and 733.60 is: 1,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.20 : 1,512.60 = 733.60 : x
  2. Step 2: Convert to fraction form
    1,007.20/1,512.60 = 733.60/x
  3. Step 3: Cross multiply
    1,007.20x = 1,512.60 × 733.60
  4. Step 4: Simplify right side
    1,007.20x = 1,109,643.36
  5. Step 5: Solve for x
    x = 1,109,643.36/1,007.20
  6. Step 6: Final answer
    x = 1,101.71

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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.