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Finding the Fourth Proportional to 866.86, 1,196.25 and 473.87

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Solution

The fourth proportional to 866.86, 1,196.25 and 473.87 is: 653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.86 : 1,196.25 = 473.87 : x
  2. Step 2: Convert to fraction form
    866.86/1,196.25 = 473.87/x
  3. Step 3: Cross multiply
    866.86x = 1,196.25 × 473.87
  4. Step 4: Simplify right side
    866.86x = 566,866.99
  5. Step 5: Solve for x
    x = 566,866.99/866.86
  6. Step 6: Final answer
    x = 653.93

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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.