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Finding the Fourth Proportional to 1,099.35, 1,648.78 and 319.19

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Solution

The fourth proportional to 1,099.35, 1,648.78 and 319.19 is: 478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.35 : 1,648.78 = 319.19 : x
  2. Step 2: Convert to fraction form
    1,099.35/1,648.78 = 319.19/x
  3. Step 3: Cross multiply
    1,099.35x = 1,648.78 × 319.19
  4. Step 4: Simplify right side
    1,099.35x = 526,274.09
  5. Step 5: Solve for x
    x = 526,274.09/1,099.35
  6. Step 6: Final answer
    x = 478.71

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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.