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Finding the Fourth Proportional to 1,209.17, 1,665.26 and 1,099.82

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Solution

The fourth proportional to 1,209.17, 1,665.26 and 1,099.82 is: 1,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.17 : 1,665.26 = 1,099.82 : x
  2. Step 2: Convert to fraction form
    1,209.17/1,665.26 = 1,099.82/x
  3. Step 3: Cross multiply
    1,209.17x = 1,665.26 × 1,099.82
  4. Step 4: Simplify right side
    1,209.17x = 1,831,477.93
  5. Step 5: Solve for x
    x = 1,831,477.93/1,209.17
  6. Step 6: Final answer
    x = 1,514.66

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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.