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Finding the Fourth Proportional to 862.95, 1,191.46 and 663.43

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Solution

The fourth proportional to 862.95, 1,191.46 and 663.43 is: 915.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.95 : 1,191.46 = 663.43 : x
  2. Step 2: Convert to fraction form
    862.95/1,191.46 = 663.43/x
  3. Step 3: Cross multiply
    862.95x = 1,191.46 × 663.43
  4. Step 4: Simplify right side
    862.95x = 790,448.03
  5. Step 5: Solve for x
    x = 790,448.03/862.95
  6. Step 6: Final answer
    x = 915.98

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