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Finding the Fourth Proportional to 1,322.44, 1,982.04 and 592

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Solution

The fourth proportional to 1,322.44, 1,982.04 and 592 is: 887.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.44 : 1,982.04 = 592 : x
  2. Step 2: Convert to fraction form
    1,322.44/1,982.04 = 592/x
  3. Step 3: Cross multiply
    1,322.44x = 1,982.04 × 592
  4. Step 4: Simplify right side
    1,322.44x = 1,173,367.68
  5. Step 5: Solve for x
    x = 1,173,367.68/1,322.44
  6. Step 6: Final answer
    x = 887.27

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Why These Related Problems?

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