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Finding the Fourth Proportional to 1,393.78, 1,922.70 and 928.12

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Solution

The fourth proportional to 1,393.78, 1,922.70 and 928.12 is: 1,280.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.78 : 1,922.70 = 928.12 : x
  2. Step 2: Convert to fraction form
    1,393.78/1,922.70 = 928.12/x
  3. Step 3: Cross multiply
    1,393.78x = 1,922.70 × 928.12
  4. Step 4: Simplify right side
    1,393.78x = 1,784,496.32
  5. Step 5: Solve for x
    x = 1,784,496.32/1,393.78
  6. Step 6: Final answer
    x = 1,280.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.