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Finding the Fourth Proportional to 867.23, 1,196.77 and 474.25

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Solution

The fourth proportional to 867.23, 1,196.77 and 474.25 is: 654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.23 : 1,196.77 = 474.25 : x
  2. Step 2: Convert to fraction form
    867.23/1,196.77 = 474.25/x
  3. Step 3: Cross multiply
    867.23x = 1,196.77 × 474.25
  4. Step 4: Simplify right side
    867.23x = 567,562.19
  5. Step 5: Solve for x
    x = 567,562.19/867.23
  6. Step 6: Final answer
    x = 654.46

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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.