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Finding the Fourth Proportional to 825.25, 1,138.70 and 493.66

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Solution

The fourth proportional to 825.25, 1,138.70 and 493.66 is: 681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.25 : 1,138.70 = 493.66 : x
  2. Step 2: Convert to fraction form
    825.25/1,138.70 = 493.66/x
  3. Step 3: Cross multiply
    825.25x = 1,138.70 × 493.66
  4. Step 4: Simplify right side
    825.25x = 562,122.48
  5. Step 5: Solve for x
    x = 562,122.48/825.25
  6. Step 6: Final answer
    x = 681.16

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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.