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Finding the Fourth Proportional to 990.98, 1,367.79 and 598.24

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Solution

The fourth proportional to 990.98, 1,367.79 and 598.24 is: 825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.98 : 1,367.79 = 598.24 : x
  2. Step 2: Convert to fraction form
    990.98/1,367.79 = 598.24/x
  3. Step 3: Cross multiply
    990.98x = 1,367.79 × 598.24
  4. Step 4: Simplify right side
    990.98x = 818,258.46
  5. Step 5: Solve for x
    x = 818,258.46/990.98
  6. Step 6: Final answer
    x = 825.70

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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.