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Finding the Fourth Proportional to 861.21, 1,288.73 and 746.06

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Solution

The fourth proportional to 861.21, 1,288.73 and 746.06 is: 1,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.21 : 1,288.73 = 746.06 : x
  2. Step 2: Convert to fraction form
    861.21/1,288.73 = 746.06/x
  3. Step 3: Cross multiply
    861.21x = 1,288.73 × 746.06
  4. Step 4: Simplify right side
    861.21x = 961,465.33
  5. Step 5: Solve for x
    x = 961,465.33/861.21
  6. Step 6: Final answer
    x = 1,116.41

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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.