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Finding the Fourth Proportional to 1,099.16, 1,649.03 and 579.03

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Solution

The fourth proportional to 1,099.16, 1,649.03 and 579.03 is: 868.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.16 : 1,649.03 = 579.03 : x
  2. Step 2: Convert to fraction form
    1,099.16/1,649.03 = 579.03/x
  3. Step 3: Cross multiply
    1,099.16x = 1,649.03 × 579.03
  4. Step 4: Simplify right side
    1,099.16x = 954,834.95
  5. Step 5: Solve for x
    x = 954,834.95/1,099.16
  6. Step 6: Final answer
    x = 868.70

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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.