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Finding the Fourth Proportional to 869.76, 1,200.69 and 605.51

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Solution

The fourth proportional to 869.76, 1,200.69 and 605.51 is: 835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.76 : 1,200.69 = 605.51 : x
  2. Step 2: Convert to fraction form
    869.76/1,200.69 = 605.51/x
  3. Step 3: Cross multiply
    869.76x = 1,200.69 × 605.51
  4. Step 4: Simplify right side
    869.76x = 727,023.80
  5. Step 5: Solve for x
    x = 727,023.80/869.76
  6. Step 6: Final answer
    x = 835.89

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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.