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Finding the Fourth Proportional to 867.72, 1,197.30 and 494.64

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Solution

The fourth proportional to 867.72, 1,197.30 and 494.64 is: 682.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.72 : 1,197.30 = 494.64 : x
  2. Step 2: Convert to fraction form
    867.72/1,197.30 = 494.64/x
  3. Step 3: Cross multiply
    867.72x = 1,197.30 × 494.64
  4. Step 4: Simplify right side
    867.72x = 592,232.47
  5. Step 5: Solve for x
    x = 592,232.47/867.72
  6. Step 6: Final answer
    x = 682.52

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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.