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Finding the Fourth Proportional to 1,323.92, 1,985.97 and 399.41

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Solution

The fourth proportional to 1,323.92, 1,985.97 and 399.41 is: 599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.92 : 1,985.97 = 399.41 : x
  2. Step 2: Convert to fraction form
    1,323.92/1,985.97 = 399.41/x
  3. Step 3: Cross multiply
    1,323.92x = 1,985.97 × 399.41
  4. Step 4: Simplify right side
    1,323.92x = 793,216.28
  5. Step 5: Solve for x
    x = 793,216.28/1,323.92
  6. Step 6: Final answer
    x = 599.14

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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.