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Finding the Fourth Proportional to 1,322.69, 1,984.01 and 398.23

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Solution

The fourth proportional to 1,322.69, 1,984.01 and 398.23 is: 597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.69 : 1,984.01 = 398.23 : x
  2. Step 2: Convert to fraction form
    1,322.69/1,984.01 = 398.23/x
  3. Step 3: Cross multiply
    1,322.69x = 1,984.01 × 398.23
  4. Step 4: Simplify right side
    1,322.69x = 790,085.35
  5. Step 5: Solve for x
    x = 790,085.35/1,322.69
  6. Step 6: Final answer
    x = 597.33

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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.