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Finding the Fourth Proportional to 1,099.37, 1,649.13 and 319.38

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Solution

The fourth proportional to 1,099.37, 1,649.13 and 319.38 is: 479.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.37 : 1,649.13 = 319.38 : x
  2. Step 2: Convert to fraction form
    1,099.37/1,649.13 = 319.38/x
  3. Step 3: Cross multiply
    1,099.37x = 1,649.13 × 319.38
  4. Step 4: Simplify right side
    1,099.37x = 526,701.41
  5. Step 5: Solve for x
    x = 526,701.41/1,099.37
  6. Step 6: Final answer
    x = 479.09

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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.