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Finding the Fourth Proportional to 1,099.92, 1,650.06 and 320.04

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Solution

The fourth proportional to 1,099.92, 1,650.06 and 320.04 is: 480.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.92 : 1,650.06 = 320.04 : x
  2. Step 2: Convert to fraction form
    1,099.92/1,650.06 = 320.04/x
  3. Step 3: Cross multiply
    1,099.92x = 1,650.06 × 320.04
  4. Step 4: Simplify right side
    1,099.92x = 528,085.20
  5. Step 5: Solve for x
    x = 528,085.20/1,099.92
  6. Step 6: Final answer
    x = 480.11

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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.