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Finding the Fourth Proportional to 1,099.19, 1,648.79 and 277.53

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Solution

The fourth proportional to 1,099.19, 1,648.79 and 277.53 is: 416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.19 : 1,648.79 = 277.53 : x
  2. Step 2: Convert to fraction form
    1,099.19/1,648.79 = 277.53/x
  3. Step 3: Cross multiply
    1,099.19x = 1,648.79 × 277.53
  4. Step 4: Simplify right side
    1,099.19x = 457,583.87
  5. Step 5: Solve for x
    x = 457,583.87/1,099.19
  6. Step 6: Final answer
    x = 416.29

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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.