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Finding the Fourth Proportional to 1,250.98, 1,875.41 and 764.37

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Solution

The fourth proportional to 1,250.98, 1,875.41 and 764.37 is: 1,145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.98 : 1,875.41 = 764.37 : x
  2. Step 2: Convert to fraction form
    1,250.98/1,875.41 = 764.37/x
  3. Step 3: Cross multiply
    1,250.98x = 1,875.41 × 764.37
  4. Step 4: Simplify right side
    1,250.98x = 1,433,507.14
  5. Step 5: Solve for x
    x = 1,433,507.14/1,250.98
  6. Step 6: Final answer
    x = 1,145.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.