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Finding the Fourth Proportional to 1,007.36, 1,509.67 and 748.34

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Solution

The fourth proportional to 1,007.36, 1,509.67 and 748.34 is: 1,121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.36 : 1,509.67 = 748.34 : x
  2. Step 2: Convert to fraction form
    1,007.36/1,509.67 = 748.34/x
  3. Step 3: Cross multiply
    1,007.36x = 1,509.67 × 748.34
  4. Step 4: Simplify right side
    1,007.36x = 1,129,738.90
  5. Step 5: Solve for x
    x = 1,129,738.90/1,007.36
  6. Step 6: Final answer
    x = 1,121.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.