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Finding the Fourth Proportional to 1,099.81, 1,649.17 and 612.73

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Solution

The fourth proportional to 1,099.81, 1,649.17 and 612.73 is: 918.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.81 : 1,649.17 = 612.73 : x
  2. Step 2: Convert to fraction form
    1,099.81/1,649.17 = 612.73/x
  3. Step 3: Cross multiply
    1,099.81x = 1,649.17 × 612.73
  4. Step 4: Simplify right side
    1,099.81x = 1,010,495.93
  5. Step 5: Solve for x
    x = 1,010,495.93/1,099.81
  6. Step 6: Final answer
    x = 918.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.