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Finding the Fourth Proportional to 1,322.23, 1,982.86 and 592.31

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Solution

The fourth proportional to 1,322.23, 1,982.86 and 592.31 is: 888.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.23 : 1,982.86 = 592.31 : x
  2. Step 2: Convert to fraction form
    1,322.23/1,982.86 = 592.31/x
  3. Step 3: Cross multiply
    1,322.23x = 1,982.86 × 592.31
  4. Step 4: Simplify right side
    1,322.23x = 1,174,456.41
  5. Step 5: Solve for x
    x = 1,174,456.41/1,322.23
  6. Step 6: Final answer
    x = 888.24

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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.