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Finding the Fourth Proportional to 1,310.54, 1,965.38 and 432.83

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Solution

The fourth proportional to 1,310.54, 1,965.38 and 432.83 is: 649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.54 : 1,965.38 = 432.83 : x
  2. Step 2: Convert to fraction form
    1,310.54/1,965.38 = 432.83/x
  3. Step 3: Cross multiply
    1,310.54x = 1,965.38 × 432.83
  4. Step 4: Simplify right side
    1,310.54x = 850,679.80
  5. Step 5: Solve for x
    x = 850,679.80/1,310.54
  6. Step 6: Final answer
    x = 649.11

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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.