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Finding the Fourth Proportional to 989.06, 1,364.73 and 615.92

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Solution

The fourth proportional to 989.06, 1,364.73 and 615.92 is: 849.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.06 : 1,364.73 = 615.92 : x
  2. Step 2: Convert to fraction form
    989.06/1,364.73 = 615.92/x
  3. Step 3: Cross multiply
    989.06x = 1,364.73 × 615.92
  4. Step 4: Simplify right side
    989.06x = 840,564.50
  5. Step 5: Solve for x
    x = 840,564.50/989.06
  6. Step 6: Final answer
    x = 849.86

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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.