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Finding the Fourth Proportional to 886.97, 1,330.64 and 733.07

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Solution

The fourth proportional to 886.97, 1,330.64 and 733.07 is: 1,099.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.97 : 1,330.64 = 733.07 : x
  2. Step 2: Convert to fraction form
    886.97/1,330.64 = 733.07/x
  3. Step 3: Cross multiply
    886.97x = 1,330.64 × 733.07
  4. Step 4: Simplify right side
    886.97x = 975,452.26
  5. Step 5: Solve for x
    x = 975,452.26/886.97
  6. Step 6: Final answer
    x = 1,099.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.