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Finding the Fourth Proportional to 701.21, 1,051.81 and 684.29

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Solution

The fourth proportional to 701.21, 1,051.81 and 684.29 is: 1,026.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.21 : 1,051.81 = 684.29 : x
  2. Step 2: Convert to fraction form
    701.21/1,051.81 = 684.29/x
  3. Step 3: Cross multiply
    701.21x = 1,051.81 × 684.29
  4. Step 4: Simplify right side
    701.21x = 719,745.17
  5. Step 5: Solve for x
    x = 719,745.17/701.21
  6. Step 6: Final answer
    x = 1,026.44

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Why These Related Problems?

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