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Finding the Fourth Proportional to 1,310.24, 1,968.24 and 1,022.24

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Solution

The fourth proportional to 1,310.24, 1,968.24 and 1,022.24 is: 1,535.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.24 : 1,968.24 = 1,022.24 : x
  2. Step 2: Convert to fraction form
    1,310.24/1,968.24 = 1,022.24/x
  3. Step 3: Cross multiply
    1,310.24x = 1,968.24 × 1,022.24
  4. Step 4: Simplify right side
    1,310.24x = 2,012,013.66
  5. Step 5: Solve for x
    x = 2,012,013.66/1,310.24
  6. Step 6: Final answer
    x = 1,535.61

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1.5x scale

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.