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Finding the Fourth Proportional to 842.84, 1,262.30 and 739.04

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Solution

The fourth proportional to 842.84, 1,262.30 and 739.04 is: 1,106.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.84 : 1,262.30 = 739.04 : x
  2. Step 2: Convert to fraction form
    842.84/1,262.30 = 739.04/x
  3. Step 3: Cross multiply
    842.84x = 1,262.30 × 739.04
  4. Step 4: Simplify right side
    842.84x = 932,880.19
  5. Step 5: Solve for x
    x = 932,880.19/842.84
  6. Step 6: Final answer
    x = 1,106.84

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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.