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Finding the Fourth Proportional to 753.73, 1,040.16 and 422.17

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Solution

The fourth proportional to 753.73, 1,040.16 and 422.17 is: 582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.73 : 1,040.16 = 422.17 : x
  2. Step 2: Convert to fraction form
    753.73/1,040.16 = 422.17/x
  3. Step 3: Cross multiply
    753.73x = 1,040.16 × 422.17
  4. Step 4: Simplify right side
    753.73x = 439,124.35
  5. Step 5: Solve for x
    x = 439,124.35/753.73
  6. Step 6: Final answer
    x = 582.60

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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.