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Finding the Fourth Proportional to 1,099.48, 1,648.74 and 415

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Solution

The fourth proportional to 1,099.48, 1,648.74 and 415 is: 622.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.48 : 1,648.74 = 415 : x
  2. Step 2: Convert to fraction form
    1,099.48/1,648.74 = 415/x
  3. Step 3: Cross multiply
    1,099.48x = 1,648.74 × 415
  4. Step 4: Simplify right side
    1,099.48x = 684,227.10
  5. Step 5: Solve for x
    x = 684,227.10/1,099.48
  6. Step 6: Final answer
    x = 622.32

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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.