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Finding the Fourth Proportional to 962.31, 1,327.67 and 589.46

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Solution

The fourth proportional to 962.31, 1,327.67 and 589.46 is: 813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.31 : 1,327.67 = 589.46 : x
  2. Step 2: Convert to fraction form
    962.31/1,327.67 = 589.46/x
  3. Step 3: Cross multiply
    962.31x = 1,327.67 × 589.46
  4. Step 4: Simplify right side
    962.31x = 782,600.98
  5. Step 5: Solve for x
    x = 782,600.98/962.31
  6. Step 6: Final answer
    x = 813.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.