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Finding the Fourth Proportional to 722.20, 1,083.30 and 578.83

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Solution

The fourth proportional to 722.20, 1,083.30 and 578.83 is: 868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.20 : 1,083.30 = 578.83 : x
  2. Step 2: Convert to fraction form
    722.20/1,083.30 = 578.83/x
  3. Step 3: Cross multiply
    722.20x = 1,083.30 × 578.83
  4. Step 4: Simplify right side
    722.20x = 627,038.23
  5. Step 5: Solve for x
    x = 627,038.23/722.20
  6. Step 6: Final answer
    x = 868.24

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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.