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Finding the Fourth Proportional to 1,323.63, 1,984.86 and 399.02

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Solution

The fourth proportional to 1,323.63, 1,984.86 and 399.02 is: 598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.63 : 1,984.86 = 399.02 : x
  2. Step 2: Convert to fraction form
    1,323.63/1,984.86 = 399.02/x
  3. Step 3: Cross multiply
    1,323.63x = 1,984.86 × 399.02
  4. Step 4: Simplify right side
    1,323.63x = 791,988.91
  5. Step 5: Solve for x
    x = 791,988.91/1,323.63
  6. Step 6: Final answer
    x = 598.35

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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.