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Finding the Fourth Proportional to 868.18, 1,307.70 and 791.60

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Solution

The fourth proportional to 868.18, 1,307.70 and 791.60 is: 1,192.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.18 : 1,307.70 = 791.60 : x
  2. Step 2: Convert to fraction form
    868.18/1,307.70 = 791.60/x
  3. Step 3: Cross multiply
    868.18x = 1,307.70 × 791.60
  4. Step 4: Simplify right side
    868.18x = 1,035,175.32
  5. Step 5: Solve for x
    x = 1,035,175.32/868.18
  6. Step 6: Final answer
    x = 1,192.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.