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Finding the Fourth Proportional to 869.97, 1,200.78 and 571.08

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Solution

The fourth proportional to 869.97, 1,200.78 and 571.08 is: 788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.97 : 1,200.78 = 571.08 : x
  2. Step 2: Convert to fraction form
    869.97/1,200.78 = 571.08/x
  3. Step 3: Cross multiply
    869.97x = 1,200.78 × 571.08
  4. Step 4: Simplify right side
    869.97x = 685,741.44
  5. Step 5: Solve for x
    x = 685,741.44/869.97
  6. Step 6: Final answer
    x = 788.24

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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.