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Finding the Fourth Proportional to 758.19, 1,046.31 and 422.10

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Solution

The fourth proportional to 758.19, 1,046.31 and 422.10 is: 582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.19 : 1,046.31 = 422.10 : x
  2. Step 2: Convert to fraction form
    758.19/1,046.31 = 422.10/x
  3. Step 3: Cross multiply
    758.19x = 1,046.31 × 422.10
  4. Step 4: Simplify right side
    758.19x = 441,647.45
  5. Step 5: Solve for x
    x = 441,647.45/758.19
  6. Step 6: Final answer
    x = 582.50

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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.