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Finding the Fourth Proportional to 1,105.31, 1,650.05 and 1,066.84

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Solution

The fourth proportional to 1,105.31, 1,650.05 and 1,066.84 is: 1,592.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.31 : 1,650.05 = 1,066.84 : x
  2. Step 2: Convert to fraction form
    1,105.31/1,650.05 = 1,066.84/x
  3. Step 3: Cross multiply
    1,105.31x = 1,650.05 × 1,066.84
  4. Step 4: Simplify right side
    1,105.31x = 1,760,339.34
  5. Step 5: Solve for x
    x = 1,760,339.34/1,105.31
  6. Step 6: Final answer
    x = 1,592.62

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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.