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Finding the Fourth Proportional to 1,035.19, 1,553.37 and 418.78

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Solution

The fourth proportional to 1,035.19, 1,553.37 and 418.78 is: 628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.19 : 1,553.37 = 418.78 : x
  2. Step 2: Convert to fraction form
    1,035.19/1,553.37 = 418.78/x
  3. Step 3: Cross multiply
    1,035.19x = 1,553.37 × 418.78
  4. Step 4: Simplify right side
    1,035.19x = 650,520.29
  5. Step 5: Solve for x
    x = 650,520.29/1,035.19
  6. Step 6: Final answer
    x = 628.41

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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.