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Finding the Fourth Proportional to 1,022.25, 1,528.70 and 762.44

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Solution

The fourth proportional to 1,022.25, 1,528.70 and 762.44 is: 1,140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.25 : 1,528.70 = 762.44 : x
  2. Step 2: Convert to fraction form
    1,022.25/1,528.70 = 762.44/x
  3. Step 3: Cross multiply
    1,022.25x = 1,528.70 × 762.44
  4. Step 4: Simplify right side
    1,022.25x = 1,165,530.57
  5. Step 5: Solve for x
    x = 1,165,530.57/1,022.25
  6. Step 6: Final answer
    x = 1,140.16

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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.