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Finding the Fourth Proportional to 829.71, 1,243.19 and 585.74

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Solution

The fourth proportional to 829.71, 1,243.19 and 585.74 is: 877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.71 : 1,243.19 = 585.74 : x
  2. Step 2: Convert to fraction form
    829.71/1,243.19 = 585.74/x
  3. Step 3: Cross multiply
    829.71x = 1,243.19 × 585.74
  4. Step 4: Simplify right side
    829.71x = 728,190.68
  5. Step 5: Solve for x
    x = 728,190.68/829.71
  6. Step 6: Final answer
    x = 877.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.