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Finding the Fourth Proportional to 1,282.25, 1,924.01 and 762.23

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Solution

The fourth proportional to 1,282.25, 1,924.01 and 762.23 is: 1,143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.25 : 1,924.01 = 762.23 : x
  2. Step 2: Convert to fraction form
    1,282.25/1,924.01 = 762.23/x
  3. Step 3: Cross multiply
    1,282.25x = 1,924.01 × 762.23
  4. Step 4: Simplify right side
    1,282.25x = 1,466,524.71
  5. Step 5: Solve for x
    x = 1,466,524.71/1,282.25
  6. Step 6: Final answer
    x = 1,143.72

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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.