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Finding the Fourth Proportional to 867.49, 1,197.14 and 474.52

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Solution

The fourth proportional to 867.49, 1,197.14 and 474.52 is: 654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.49 : 1,197.14 = 474.52 : x
  2. Step 2: Convert to fraction form
    867.49/1,197.14 = 474.52/x
  3. Step 3: Cross multiply
    867.49x = 1,197.14 × 474.52
  4. Step 4: Simplify right side
    867.49x = 568,066.87
  5. Step 5: Solve for x
    x = 568,066.87/867.49
  6. Step 6: Final answer
    x = 654.84

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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.