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Finding the Fourth Proportional to 1,246.14, 1,869.30 and 762.30

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Solution

The fourth proportional to 1,246.14, 1,869.30 and 762.30 is: 1,143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.14 : 1,869.30 = 762.30 : x
  2. Step 2: Convert to fraction form
    1,246.14/1,869.30 = 762.30/x
  3. Step 3: Cross multiply
    1,246.14x = 1,869.30 × 762.30
  4. Step 4: Simplify right side
    1,246.14x = 1,424,967.39
  5. Step 5: Solve for x
    x = 1,424,967.39/1,246.14
  6. Step 6: Final answer
    x = 1,143.51

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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.