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Finding the Fourth Proportional to 1,379.61, 1,904.27 and 820.31

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Solution

The fourth proportional to 1,379.61, 1,904.27 and 820.31 is: 1,132.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.61 : 1,904.27 = 820.31 : x
  2. Step 2: Convert to fraction form
    1,379.61/1,904.27 = 820.31/x
  3. Step 3: Cross multiply
    1,379.61x = 1,904.27 × 820.31
  4. Step 4: Simplify right side
    1,379.61x = 1,562,078.10
  5. Step 5: Solve for x
    x = 1,562,078.10/1,379.61
  6. Step 6: Final answer
    x = 1,132.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.