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Finding the Fourth Proportional to 1,323.21, 1,985.02 and 398.65

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Solution

The fourth proportional to 1,323.21, 1,985.02 and 398.65 is: 598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.21 : 1,985.02 = 398.65 : x
  2. Step 2: Convert to fraction form
    1,323.21/1,985.02 = 398.65/x
  3. Step 3: Cross multiply
    1,323.21x = 1,985.02 × 398.65
  4. Step 4: Simplify right side
    1,323.21x = 791,322.26
  5. Step 5: Solve for x
    x = 791,322.26/1,323.21
  6. Step 6: Final answer
    x = 598.03

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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.