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Finding the Fourth Proportional to 866.48, 1,196.55 and 556.52

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Solution

The fourth proportional to 866.48, 1,196.55 and 556.52 is: 768.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.48 : 1,196.55 = 556.52 : x
  2. Step 2: Convert to fraction form
    866.48/1,196.55 = 556.52/x
  3. Step 3: Cross multiply
    866.48x = 1,196.55 × 556.52
  4. Step 4: Simplify right side
    866.48x = 665,904.01
  5. Step 5: Solve for x
    x = 665,904.01/866.48
  6. Step 6: Final answer
    x = 768.52

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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.