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Finding the Fourth Proportional to 916.02, 1,367.39 and 851.94

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Solution

The fourth proportional to 916.02, 1,367.39 and 851.94 is: 1,271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.02 : 1,367.39 = 851.94 : x
  2. Step 2: Convert to fraction form
    916.02/1,367.39 = 851.94/x
  3. Step 3: Cross multiply
    916.02x = 1,367.39 × 851.94
  4. Step 4: Simplify right side
    916.02x = 1,164,929.98
  5. Step 5: Solve for x
    x = 1,164,929.98/916.02
  6. Step 6: Final answer
    x = 1,271.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.