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Finding the Fourth Proportional to 947.42, 1,422.68 and 584.52

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Solution

The fourth proportional to 947.42, 1,422.68 and 584.52 is: 877.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.42 : 1,422.68 = 584.52 : x
  2. Step 2: Convert to fraction form
    947.42/1,422.68 = 584.52/x
  3. Step 3: Cross multiply
    947.42x = 1,422.68 × 584.52
  4. Step 4: Simplify right side
    947.42x = 831,577.48
  5. Step 5: Solve for x
    x = 831,577.48/947.42
  6. Step 6: Final answer
    x = 877.73

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