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Finding the Fourth Proportional to 1,174.83, 1,763.15 and 444.61

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Solution

The fourth proportional to 1,174.83, 1,763.15 and 444.61 is: 667.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.83 : 1,763.15 = 444.61 : x
  2. Step 2: Convert to fraction form
    1,174.83/1,763.15 = 444.61/x
  3. Step 3: Cross multiply
    1,174.83x = 1,763.15 × 444.61
  4. Step 4: Simplify right side
    1,174.83x = 783,914.12
  5. Step 5: Solve for x
    x = 783,914.12/1,174.83
  6. Step 6: Final answer
    x = 667.26

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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.