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Finding the Fourth Proportional to 867.45, 1,197.06 and 474.46

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Solution

The fourth proportional to 867.45, 1,197.06 and 474.46 is: 654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.45 : 1,197.06 = 474.46 : x
  2. Step 2: Convert to fraction form
    867.45/1,197.06 = 474.46/x
  3. Step 3: Cross multiply
    867.45x = 1,197.06 × 474.46
  4. Step 4: Simplify right side
    867.45x = 567,957.09
  5. Step 5: Solve for x
    x = 567,957.09/867.45
  6. Step 6: Final answer
    x = 654.75

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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.