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Finding the Fourth Proportional to 866.68, 1,195.93 and 493.70

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Solution

The fourth proportional to 866.68, 1,195.93 and 493.70 is: 681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.68 : 1,195.93 = 493.70 : x
  2. Step 2: Convert to fraction form
    866.68/1,195.93 = 493.70/x
  3. Step 3: Cross multiply
    866.68x = 1,195.93 × 493.70
  4. Step 4: Simplify right side
    866.68x = 590,428.54
  5. Step 5: Solve for x
    x = 590,428.54/866.68
  6. Step 6: Final answer
    x = 681.25

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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.