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Finding the Fourth Proportional to 753.68, 1,040.10 and 422.12

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Solution

The fourth proportional to 753.68, 1,040.10 and 422.12 is: 582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.68 : 1,040.10 = 422.12 : x
  2. Step 2: Convert to fraction form
    753.68/1,040.10 = 422.12/x
  3. Step 3: Cross multiply
    753.68x = 1,040.10 × 422.12
  4. Step 4: Simplify right side
    753.68x = 439,047.01
  5. Step 5: Solve for x
    x = 439,047.01/753.68
  6. Step 6: Final answer
    x = 582.54

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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.