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Finding the Fourth Proportional to 1,099.04, 1,648.44 and 578.83

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Solution

The fourth proportional to 1,099.04, 1,648.44 and 578.83 is: 868.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.04 : 1,648.44 = 578.83 : x
  2. Step 2: Convert to fraction form
    1,099.04/1,648.44 = 578.83/x
  3. Step 3: Cross multiply
    1,099.04x = 1,648.44 × 578.83
  4. Step 4: Simplify right side
    1,099.04x = 954,166.53
  5. Step 5: Solve for x
    x = 954,166.53/1,099.04
  6. Step 6: Final answer
    x = 868.18

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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.