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Finding the Fourth Proportional to 1,007.30, 1,507.97 and 748.46

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Solution

The fourth proportional to 1,007.30, 1,507.97 and 748.46 is: 1,120.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.30 : 1,507.97 = 748.46 : x
  2. Step 2: Convert to fraction form
    1,007.30/1,507.97 = 748.46/x
  3. Step 3: Cross multiply
    1,007.30x = 1,507.97 × 748.46
  4. Step 4: Simplify right side
    1,007.30x = 1,128,660.87
  5. Step 5: Solve for x
    x = 1,128,660.87/1,007.30
  6. Step 6: Final answer
    x = 1,120.48

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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.