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Finding the Fourth Proportional to 1,276.11, 1,913.76 and 544.77

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Solution

The fourth proportional to 1,276.11, 1,913.76 and 544.77 is: 816.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.11 : 1,913.76 = 544.77 : x
  2. Step 2: Convert to fraction form
    1,276.11/1,913.76 = 544.77/x
  3. Step 3: Cross multiply
    1,276.11x = 1,913.76 × 544.77
  4. Step 4: Simplify right side
    1,276.11x = 1,042,559.04
  5. Step 5: Solve for x
    x = 1,042,559.04/1,276.11
  6. Step 6: Final answer
    x = 816.98

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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.