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Finding the Fourth Proportional to 868.42, 1,307.32 and 793.09

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Solution

The fourth proportional to 868.42, 1,307.32 and 793.09 is: 1,193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.42 : 1,307.32 = 793.09 : x
  2. Step 2: Convert to fraction form
    868.42/1,307.32 = 793.09/x
  3. Step 3: Cross multiply
    868.42x = 1,307.32 × 793.09
  4. Step 4: Simplify right side
    868.42x = 1,036,822.42
  5. Step 5: Solve for x
    x = 1,036,822.42/868.42
  6. Step 6: Final answer
    x = 1,193.92

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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.