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Finding the Fourth Proportional to 789.03, 1,087.36 and 567.60

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Solution

The fourth proportional to 789.03, 1,087.36 and 567.60 is: 782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.03 : 1,087.36 = 567.60 : x
  2. Step 2: Convert to fraction form
    789.03/1,087.36 = 567.60/x
  3. Step 3: Cross multiply
    789.03x = 1,087.36 × 567.60
  4. Step 4: Simplify right side
    789.03x = 617,185.54
  5. Step 5: Solve for x
    x = 617,185.54/789.03
  6. Step 6: Final answer
    x = 782.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.