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Finding the Fourth Proportional to 867.82, 1,197.61 and 474.87

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Solution

The fourth proportional to 867.82, 1,197.61 and 474.87 is: 655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.82 : 1,197.61 = 474.87 : x
  2. Step 2: Convert to fraction form
    867.82/1,197.61 = 474.87/x
  3. Step 3: Cross multiply
    867.82x = 1,197.61 × 474.87
  4. Step 4: Simplify right side
    867.82x = 568,703.07
  5. Step 5: Solve for x
    x = 568,703.07/867.82
  6. Step 6: Final answer
    x = 655.33

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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.