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Finding the Fourth Proportional to 1,086.61, 1,629.91 and 264.89

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Solution

The fourth proportional to 1,086.61, 1,629.91 and 264.89 is: 397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.61 : 1,629.91 = 264.89 : x
  2. Step 2: Convert to fraction form
    1,086.61/1,629.91 = 264.89/x
  3. Step 3: Cross multiply
    1,086.61x = 1,629.91 × 264.89
  4. Step 4: Simplify right side
    1,086.61x = 431,746.86
  5. Step 5: Solve for x
    x = 431,746.86/1,086.61
  6. Step 6: Final answer
    x = 397.33

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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.