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Finding the Fourth Proportional to 758.73, 1,047.06 and 422.66

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Solution

The fourth proportional to 758.73, 1,047.06 and 422.66 is: 583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.73 : 1,047.06 = 422.66 : x
  2. Step 2: Convert to fraction form
    758.73/1,047.06 = 422.66/x
  3. Step 3: Cross multiply
    758.73x = 1,047.06 × 422.66
  4. Step 4: Simplify right side
    758.73x = 442,553.00
  5. Step 5: Solve for x
    x = 442,553.00/758.73
  6. Step 6: Final answer
    x = 583.28

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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.