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Finding the Fourth Proportional to 1,323.04, 1,984.85 and 398.52

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Solution

The fourth proportional to 1,323.04, 1,984.85 and 398.52 is: 597.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.04 : 1,984.85 = 398.52 : x
  2. Step 2: Convert to fraction form
    1,323.04/1,984.85 = 398.52/x
  3. Step 3: Cross multiply
    1,323.04x = 1,984.85 × 398.52
  4. Step 4: Simplify right side
    1,323.04x = 791,002.42
  5. Step 5: Solve for x
    x = 791,002.42/1,323.04
  6. Step 6: Final answer
    x = 597.87

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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.