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Finding the Fourth Proportional to 1,310.53, 1,965.80 and 323.35

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Solution

The fourth proportional to 1,310.53, 1,965.80 and 323.35 is: 485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.53 : 1,965.80 = 323.35 : x
  2. Step 2: Convert to fraction form
    1,310.53/1,965.80 = 323.35/x
  3. Step 3: Cross multiply
    1,310.53x = 1,965.80 × 323.35
  4. Step 4: Simplify right side
    1,310.53x = 635,636.52
  5. Step 5: Solve for x
    x = 635,636.52/1,310.53
  6. Step 6: Final answer
    x = 485.02

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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.