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Finding the Fourth Proportional to 884.91, 1,219.56 and 706.53

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Solution

The fourth proportional to 884.91, 1,219.56 and 706.53 is: 973.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.91 : 1,219.56 = 706.53 : x
  2. Step 2: Convert to fraction form
    884.91/1,219.56 = 706.53/x
  3. Step 3: Cross multiply
    884.91x = 1,219.56 × 706.53
  4. Step 4: Simplify right side
    884.91x = 861,655.73
  5. Step 5: Solve for x
    x = 861,655.73/884.91
  6. Step 6: Final answer
    x = 973.72

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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.