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Finding the Fourth Proportional to 1,274.82, 1,913.01 and 544.41

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Solution

The fourth proportional to 1,274.82, 1,913.01 and 544.41 is: 816.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.82 : 1,913.01 = 544.41 : x
  2. Step 2: Convert to fraction form
    1,274.82/1,913.01 = 544.41/x
  3. Step 3: Cross multiply
    1,274.82x = 1,913.01 × 544.41
  4. Step 4: Simplify right side
    1,274.82x = 1,041,461.77
  5. Step 5: Solve for x
    x = 1,041,461.77/1,274.82
  6. Step 6: Final answer
    x = 816.95

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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.