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Finding the Fourth Proportional to 861, 1,188.26 and 493

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Solution

The fourth proportional to 861, 1,188.26 and 493 is: 680.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    861 : 1,188.26 = 493 : x
  2. Step 2: Convert to fraction form
    861/1,188.26 = 493/x
  3. Step 3: Cross multiply
    861x = 1,188.26 × 493
  4. Step 4: Simplify right side
    861x = 585,812.18
  5. Step 5: Solve for x
    x = 585,812.18/861
  6. Step 6: Final answer
    x = 680.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.