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Finding the Fourth Proportional to 1,081.69, 1,622.35 and 291.06

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Solution

The fourth proportional to 1,081.69, 1,622.35 and 291.06 is: 436.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.69 : 1,622.35 = 291.06 : x
  2. Step 2: Convert to fraction form
    1,081.69/1,622.35 = 291.06/x
  3. Step 3: Cross multiply
    1,081.69x = 1,622.35 × 291.06
  4. Step 4: Simplify right side
    1,081.69x = 472,201.19
  5. Step 5: Solve for x
    x = 472,201.19/1,081.69
  6. Step 6: Final answer
    x = 436.54

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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.