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Finding the Fourth Proportional to 1,128.90, 1,684.22 and 1,005.78

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Solution

The fourth proportional to 1,128.90, 1,684.22 and 1,005.78 is: 1,500.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.90 : 1,684.22 = 1,005.78 : x
  2. Step 2: Convert to fraction form
    1,128.90/1,684.22 = 1,005.78/x
  3. Step 3: Cross multiply
    1,128.90x = 1,684.22 × 1,005.78
  4. Step 4: Simplify right side
    1,128.90x = 1,693,954.79
  5. Step 5: Solve for x
    x = 1,693,954.79/1,128.90
  6. Step 6: Final answer
    x = 1,500.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.