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Finding the Fourth Proportional to 1,063.77, 1,592.91 and 854.55

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Solution

The fourth proportional to 1,063.77, 1,592.91 and 854.55 is: 1,279.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.77 : 1,592.91 = 854.55 : x
  2. Step 2: Convert to fraction form
    1,063.77/1,592.91 = 854.55/x
  3. Step 3: Cross multiply
    1,063.77x = 1,592.91 × 854.55
  4. Step 4: Simplify right side
    1,063.77x = 1,361,221.24
  5. Step 5: Solve for x
    x = 1,361,221.24/1,063.77
  6. Step 6: Final answer
    x = 1,279.62

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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.