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Finding the Fourth Proportional to 861.96, 1,187.46 and 695.72

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Solution

The fourth proportional to 861.96, 1,187.46 and 695.72 is: 958.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.96 : 1,187.46 = 695.72 : x
  2. Step 2: Convert to fraction form
    861.96/1,187.46 = 695.72/x
  3. Step 3: Cross multiply
    861.96x = 1,187.46 × 695.72
  4. Step 4: Simplify right side
    861.96x = 826,139.67
  5. Step 5: Solve for x
    x = 826,139.67/861.96
  6. Step 6: Final answer
    x = 958.44

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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.