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Finding the Fourth Proportional to 753.90, 1,040.41 and 422.35

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Solution

The fourth proportional to 753.90, 1,040.41 and 422.35 is: 582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.90 : 1,040.41 = 422.35 : x
  2. Step 2: Convert to fraction form
    753.90/1,040.41 = 422.35/x
  3. Step 3: Cross multiply
    753.90x = 1,040.41 × 422.35
  4. Step 4: Simplify right side
    753.90x = 439,417.16
  5. Step 5: Solve for x
    x = 439,417.16/753.90
  6. Step 6: Final answer
    x = 582.86

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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.