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Finding the Fourth Proportional to 1,099.39, 1,649.08 and 368.96

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Solution

The fourth proportional to 1,099.39, 1,649.08 and 368.96 is: 553.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.39 : 1,649.08 = 368.96 : x
  2. Step 2: Convert to fraction form
    1,099.39/1,649.08 = 368.96/x
  3. Step 3: Cross multiply
    1,099.39x = 1,649.08 × 368.96
  4. Step 4: Simplify right side
    1,099.39x = 608,451.72
  5. Step 5: Solve for x
    x = 608,451.72/1,099.39
  6. Step 6: Final answer
    x = 553.45

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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.