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Finding the Fourth Proportional to 1,068.89, 1,474.17 and 847.49

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Solution

The fourth proportional to 1,068.89, 1,474.17 and 847.49 is: 1,168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.89 : 1,474.17 = 847.49 : x
  2. Step 2: Convert to fraction form
    1,068.89/1,474.17 = 847.49/x
  3. Step 3: Cross multiply
    1,068.89x = 1,474.17 × 847.49
  4. Step 4: Simplify right side
    1,068.89x = 1,249,344.33
  5. Step 5: Solve for x
    x = 1,249,344.33/1,068.89
  6. Step 6: Final answer
    x = 1,168.82

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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.