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Finding the Fourth Proportional to 1,284.36, 1,923.44 and 734.87

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Solution

The fourth proportional to 1,284.36, 1,923.44 and 734.87 is: 1,100.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.36 : 1,923.44 = 734.87 : x
  2. Step 2: Convert to fraction form
    1,284.36/1,923.44 = 734.87/x
  3. Step 3: Cross multiply
    1,284.36x = 1,923.44 × 734.87
  4. Step 4: Simplify right side
    1,284.36x = 1,413,479.49
  5. Step 5: Solve for x
    x = 1,413,479.49/1,284.36
  6. Step 6: Final answer
    x = 1,100.54

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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.