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Finding the Fourth Proportional to 1,099.33, 1,648.58 and 319.08

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Solution

The fourth proportional to 1,099.33, 1,648.58 and 319.08 is: 478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.33 : 1,648.58 = 319.08 : x
  2. Step 2: Convert to fraction form
    1,099.33/1,648.58 = 319.08/x
  3. Step 3: Cross multiply
    1,099.33x = 1,648.58 × 319.08
  4. Step 4: Simplify right side
    1,099.33x = 526,028.91
  5. Step 5: Solve for x
    x = 526,028.91/1,099.33
  6. Step 6: Final answer
    x = 478.50

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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.