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Finding the Fourth Proportional to 861, 1,188.22 and 487.98

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Solution

The fourth proportional to 861, 1,188.22 and 487.98 is: 673.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    861 : 1,188.22 = 487.98 : x
  2. Step 2: Convert to fraction form
    861/1,188.22 = 487.98/x
  3. Step 3: Cross multiply
    861x = 1,188.22 × 487.98
  4. Step 4: Simplify right side
    861x = 579,827.60
  5. Step 5: Solve for x
    x = 579,827.60/861
  6. Step 6: Final answer
    x = 673.44

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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.