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Finding the Fourth Proportional to 753.74, 1,040.07 and 422.18

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Solution

The fourth proportional to 753.74, 1,040.07 and 422.18 is: 582.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.74 : 1,040.07 = 422.18 : x
  2. Step 2: Convert to fraction form
    753.74/1,040.07 = 422.18/x
  3. Step 3: Cross multiply
    753.74x = 1,040.07 × 422.18
  4. Step 4: Simplify right side
    753.74x = 439,096.75
  5. Step 5: Solve for x
    x = 439,096.75/753.74
  6. Step 6: Final answer
    x = 582.56

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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.