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Finding the Fourth Proportional to 866.05, 1,196.14 and 631.05

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Solution

The fourth proportional to 866.05, 1,196.14 and 631.05 is: 871.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.05 : 1,196.14 = 631.05 : x
  2. Step 2: Convert to fraction form
    866.05/1,196.14 = 631.05/x
  3. Step 3: Cross multiply
    866.05x = 1,196.14 × 631.05
  4. Step 4: Simplify right side
    866.05x = 754,822.57
  5. Step 5: Solve for x
    x = 754,822.57/866.05
  6. Step 6: Final answer
    x = 871.57

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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.