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Finding the Fourth Proportional to 1,099.32, 1,649.64 and 483.32

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Solution

The fourth proportional to 1,099.32, 1,649.64 and 483.32 is: 725.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.32 : 1,649.64 = 483.32 : x
  2. Step 2: Convert to fraction form
    1,099.32/1,649.64 = 483.32/x
  3. Step 3: Cross multiply
    1,099.32x = 1,649.64 × 483.32
  4. Step 4: Simplify right side
    1,099.32x = 797,304.00
  5. Step 5: Solve for x
    x = 797,304.00/1,099.32
  6. Step 6: Final answer
    x = 725.27

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