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Finding the Fourth Proportional to 1,038.82, 1,555.89 and 764.23

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Solution

The fourth proportional to 1,038.82, 1,555.89 and 764.23 is: 1,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.82 : 1,555.89 = 764.23 : x
  2. Step 2: Convert to fraction form
    1,038.82/1,555.89 = 764.23/x
  3. Step 3: Cross multiply
    1,038.82x = 1,555.89 × 764.23
  4. Step 4: Simplify right side
    1,038.82x = 1,189,057.81
  5. Step 5: Solve for x
    x = 1,189,057.81/1,038.82
  6. Step 6: Final answer
    x = 1,144.62

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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.