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Finding the Fourth Proportional to 990.75, 1,367.33 and 571.12

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Solution

The fourth proportional to 990.75, 1,367.33 and 571.12 is: 788.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.75 : 1,367.33 = 571.12 : x
  2. Step 2: Convert to fraction form
    990.75/1,367.33 = 571.12/x
  3. Step 3: Cross multiply
    990.75x = 1,367.33 × 571.12
  4. Step 4: Simplify right side
    990.75x = 780,909.51
  5. Step 5: Solve for x
    x = 780,909.51/990.75
  6. Step 6: Final answer
    x = 788.20

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