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Finding the Fourth Proportional to 1,099.74, 1,649.06 and 369.23

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Solution

The fourth proportional to 1,099.74, 1,649.06 and 369.23 is: 553.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.74 : 1,649.06 = 369.23 : x
  2. Step 2: Convert to fraction form
    1,099.74/1,649.06 = 369.23/x
  3. Step 3: Cross multiply
    1,099.74x = 1,649.06 × 369.23
  4. Step 4: Simplify right side
    1,099.74x = 608,873.72
  5. Step 5: Solve for x
    x = 608,873.72/1,099.74
  6. Step 6: Final answer
    x = 553.65

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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.