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Finding the Fourth Proportional to 861.07, 1,290.37 and 688.26

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Solution

The fourth proportional to 861.07, 1,290.37 and 688.26 is: 1,031.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.07 : 1,290.37 = 688.26 : x
  2. Step 2: Convert to fraction form
    861.07/1,290.37 = 688.26/x
  3. Step 3: Cross multiply
    861.07x = 1,290.37 × 688.26
  4. Step 4: Simplify right side
    861.07x = 888,110.06
  5. Step 5: Solve for x
    x = 888,110.06/861.07
  6. Step 6: Final answer
    x = 1,031.40

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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.