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Finding the Fourth Proportional to 1,250.22, 1,875.33 and 762.33

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Solution

The fourth proportional to 1,250.22, 1,875.33 and 762.33 is: 1,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.22 : 1,875.33 = 762.33 : x
  2. Step 2: Convert to fraction form
    1,250.22/1,875.33 = 762.33/x
  3. Step 3: Cross multiply
    1,250.22x = 1,875.33 × 762.33
  4. Step 4: Simplify right side
    1,250.22x = 1,429,620.32
  5. Step 5: Solve for x
    x = 1,429,620.32/1,250.22
  6. Step 6: Final answer
    x = 1,143.50

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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.