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Finding the Fourth Proportional to 990.31, 1,366.68 and 570.73

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Solution

The fourth proportional to 990.31, 1,366.68 and 570.73 is: 787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.31 : 1,366.68 = 570.73 : x
  2. Step 2: Convert to fraction form
    990.31/1,366.68 = 570.73/x
  3. Step 3: Cross multiply
    990.31x = 1,366.68 × 570.73
  4. Step 4: Simplify right side
    990.31x = 780,005.28
  5. Step 5: Solve for x
    x = 780,005.28/990.31
  6. Step 6: Final answer
    x = 787.64

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Why These Related Problems?

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