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Finding the Fourth Proportional to 1,310.10, 1,965.14 and 822.12

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Solution

The fourth proportional to 1,310.10, 1,965.14 and 822.12 is: 1,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.10 : 1,965.14 = 822.12 : x
  2. Step 2: Convert to fraction form
    1,310.10/1,965.14 = 822.12/x
  3. Step 3: Cross multiply
    1,310.10x = 1,965.14 × 822.12
  4. Step 4: Simplify right side
    1,310.10x = 1,615,580.90
  5. Step 5: Solve for x
    x = 1,615,580.90/1,310.10
  6. Step 6: Final answer
    x = 1,233.17

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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.