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Finding the Fourth Proportional to 866.09, 1,196.47 and 749.45

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Solution

The fourth proportional to 866.09, 1,196.47 and 749.45 is: 1,035.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.09 : 1,196.47 = 749.45 : x
  2. Step 2: Convert to fraction form
    866.09/1,196.47 = 749.45/x
  3. Step 3: Cross multiply
    866.09x = 1,196.47 × 749.45
  4. Step 4: Simplify right side
    866.09x = 896,698.37
  5. Step 5: Solve for x
    x = 896,698.37/866.09
  6. Step 6: Final answer
    x = 1,035.34

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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.