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Finding the Fourth Proportional to 990.99, 1,367.82 and 659.30

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Solution

The fourth proportional to 990.99, 1,367.82 and 659.30 is: 910.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.99 : 1,367.82 = 659.30 : x
  2. Step 2: Convert to fraction form
    990.99/1,367.82 = 659.30/x
  3. Step 3: Cross multiply
    990.99x = 1,367.82 × 659.30
  4. Step 4: Simplify right side
    990.99x = 901,796.89
  5. Step 5: Solve for x
    x = 901,796.89/990.99
  6. Step 6: Final answer
    x = 910.00

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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.