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Finding the Fourth Proportional to 950.26, 1,422.64 and 583.94

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Solution

The fourth proportional to 950.26, 1,422.64 and 583.94 is: 874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.26 : 1,422.64 = 583.94 : x
  2. Step 2: Convert to fraction form
    950.26/1,422.64 = 583.94/x
  3. Step 3: Cross multiply
    950.26x = 1,422.64 × 583.94
  4. Step 4: Simplify right side
    950.26x = 830,726.37
  5. Step 5: Solve for x
    x = 830,726.37/950.26
  6. Step 6: Final answer
    x = 874.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.