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Finding the Fourth Proportional to 1,105.17, 1,648.01 and 1,095.30

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Solution

The fourth proportional to 1,105.17, 1,648.01 and 1,095.30 is: 1,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.17 : 1,648.01 = 1,095.30 : x
  2. Step 2: Convert to fraction form
    1,105.17/1,648.01 = 1,095.30/x
  3. Step 3: Cross multiply
    1,105.17x = 1,648.01 × 1,095.30
  4. Step 4: Simplify right side
    1,105.17x = 1,805,059.88
  5. Step 5: Solve for x
    x = 1,805,059.88/1,105.17
  6. Step 6: Final answer
    x = 1,633.29

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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.