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Finding the Fourth Proportional to 1,035.35, 1,553.19 and 377.27

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Solution

The fourth proportional to 1,035.35, 1,553.19 and 377.27 is: 565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.35 : 1,553.19 = 377.27 : x
  2. Step 2: Convert to fraction form
    1,035.35/1,553.19 = 377.27/x
  3. Step 3: Cross multiply
    1,035.35x = 1,553.19 × 377.27
  4. Step 4: Simplify right side
    1,035.35x = 585,971.99
  5. Step 5: Solve for x
    x = 585,971.99/1,035.35
  6. Step 6: Final answer
    x = 565.97

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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.