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Finding the Fourth Proportional to 947.98, 1,422.89 and 583.48

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Solution

The fourth proportional to 947.98, 1,422.89 and 583.48 is: 875.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.98 : 1,422.89 = 583.48 : x
  2. Step 2: Convert to fraction form
    947.98/1,422.89 = 583.48/x
  3. Step 3: Cross multiply
    947.98x = 1,422.89 × 583.48
  4. Step 4: Simplify right side
    947.98x = 830,227.86
  5. Step 5: Solve for x
    x = 830,227.86/947.98
  6. Step 6: Final answer
    x = 875.79

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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.