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Finding the Fourth Proportional to 1,035.86, 1,553.94 and 377.80

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Solution

The fourth proportional to 1,035.86, 1,553.94 and 377.80 is: 566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.86 : 1,553.94 = 377.80 : x
  2. Step 2: Convert to fraction form
    1,035.86/1,553.94 = 377.80/x
  3. Step 3: Cross multiply
    1,035.86x = 1,553.94 × 377.80
  4. Step 4: Simplify right side
    1,035.86x = 587,078.53
  5. Step 5: Solve for x
    x = 587,078.53/1,035.86
  6. Step 6: Final answer
    x = 566.75

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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.