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Finding the Fourth Proportional to 1,322.16, 1,983.92 and 592.22

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Solution

The fourth proportional to 1,322.16, 1,983.92 and 592.22 is: 888.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.16 : 1,983.92 = 592.22 : x
  2. Step 2: Convert to fraction form
    1,322.16/1,983.92 = 592.22/x
  3. Step 3: Cross multiply
    1,322.16x = 1,983.92 × 592.22
  4. Step 4: Simplify right side
    1,322.16x = 1,174,904.22
  5. Step 5: Solve for x
    x = 1,174,904.22/1,322.16
  6. Step 6: Final answer
    x = 888.62

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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.