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Finding the Fourth Proportional to 1,750.69, 2,626.28 and 640.16

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Solution

The fourth proportional to 1,750.69, 2,626.28 and 640.16 is: 960.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.69 : 2,626.28 = 640.16 : x
  2. Step 2: Convert to fraction form
    1,750.69/2,626.28 = 640.16/x
  3. Step 3: Cross multiply
    1,750.69x = 2,626.28 × 640.16
  4. Step 4: Simplify right side
    1,750.69x = 1,681,227.87
  5. Step 5: Solve for x
    x = 1,681,227.87/1,750.69
  6. Step 6: Final answer
    x = 960.32

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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.