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Finding the Fourth Proportional to 990.98, 1,367.65 and 571.44

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Solution

The fourth proportional to 990.98, 1,367.65 and 571.44 is: 788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.98 : 1,367.65 = 571.44 : x
  2. Step 2: Convert to fraction form
    990.98/1,367.65 = 571.44/x
  3. Step 3: Cross multiply
    990.98x = 1,367.65 × 571.44
  4. Step 4: Simplify right side
    990.98x = 781,528.07
  5. Step 5: Solve for x
    x = 781,528.07/990.98
  6. Step 6: Final answer
    x = 788.64

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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.