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Finding the Fourth Proportional to 1,508.25, 2,081.33 and 845.00

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Solution

The fourth proportional to 1,508.25, 2,081.33 and 845.00 is: 1,166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.25 : 2,081.33 = 845.00 : x
  2. Step 2: Convert to fraction form
    1,508.25/2,081.33 = 845.00/x
  3. Step 3: Cross multiply
    1,508.25x = 2,081.33 × 845.00
  4. Step 4: Simplify right side
    1,508.25x = 1,758,720.19
  5. Step 5: Solve for x
    x = 1,758,720.19/1,508.25
  6. Step 6: Final answer
    x = 1,166.06

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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.