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Finding the Fourth Proportional to 990.72, 1,366.86 and 571.06

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Solution

The fourth proportional to 990.72, 1,366.86 and 571.06 is: 787.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.72 : 1,366.86 = 571.06 : x
  2. Step 2: Convert to fraction form
    990.72/1,366.86 = 571.06/x
  3. Step 3: Cross multiply
    990.72x = 1,366.86 × 571.06
  4. Step 4: Simplify right side
    990.72x = 780,558.70
  5. Step 5: Solve for x
    x = 780,558.70/990.72
  6. Step 6: Final answer
    x = 787.87

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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.