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Finding the Fourth Proportional to 948.23, 1,422.78 and 583.73

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Solution

The fourth proportional to 948.23, 1,422.78 and 583.73 is: 875.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.23 : 1,422.78 = 583.73 : x
  2. Step 2: Convert to fraction form
    948.23/1,422.78 = 583.73/x
  3. Step 3: Cross multiply
    948.23x = 1,422.78 × 583.73
  4. Step 4: Simplify right side
    948.23x = 830,519.37
  5. Step 5: Solve for x
    x = 830,519.37/948.23
  6. Step 6: Final answer
    x = 875.86

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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.