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Finding the Fourth Proportional to 1,099.76, 1,649.16 and 369.14

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Solution

The fourth proportional to 1,099.76, 1,649.16 and 369.14 is: 553.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.76 : 1,649.16 = 369.14 : x
  2. Step 2: Convert to fraction form
    1,099.76/1,649.16 = 369.14/x
  3. Step 3: Cross multiply
    1,099.76x = 1,649.16 × 369.14
  4. Step 4: Simplify right side
    1,099.76x = 608,762.68
  5. Step 5: Solve for x
    x = 608,762.68/1,099.76
  6. Step 6: Final answer
    x = 553.54

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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.