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Finding the Fourth Proportional to 990.14, 1,366.05 and 616.82

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Solution

The fourth proportional to 990.14, 1,366.05 and 616.82 is: 851.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.14 : 1,366.05 = 616.82 : x
  2. Step 2: Convert to fraction form
    990.14/1,366.05 = 616.82/x
  3. Step 3: Cross multiply
    990.14x = 1,366.05 × 616.82
  4. Step 4: Simplify right side
    990.14x = 842,606.96
  5. Step 5: Solve for x
    x = 842,606.96/990.14
  6. Step 6: Final answer
    x = 851.00

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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.