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Finding the Fourth Proportional to 758.13, 1,046.16 and 422.01

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Solution

The fourth proportional to 758.13, 1,046.16 and 422.01 is: 582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.13 : 1,046.16 = 422.01 : x
  2. Step 2: Convert to fraction form
    758.13/1,046.16 = 422.01/x
  3. Step 3: Cross multiply
    758.13x = 1,046.16 × 422.01
  4. Step 4: Simplify right side
    758.13x = 441,489.98
  5. Step 5: Solve for x
    x = 441,489.98/758.13
  6. Step 6: Final answer
    x = 582.34

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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.