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Finding the Fourth Proportional to 972.73, 1,456.66 and 582.31

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Solution

The fourth proportional to 972.73, 1,456.66 and 582.31 is: 872.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.73 : 1,456.66 = 582.31 : x
  2. Step 2: Convert to fraction form
    972.73/1,456.66 = 582.31/x
  3. Step 3: Cross multiply
    972.73x = 1,456.66 × 582.31
  4. Step 4: Simplify right side
    972.73x = 848,227.68
  5. Step 5: Solve for x
    x = 848,227.68/972.73
  6. Step 6: Final answer
    x = 872.01

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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.