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Finding the Fourth Proportional to 1,276.92, 1,916.03 and 546.30

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Solution

The fourth proportional to 1,276.92, 1,916.03 and 546.30 is: 819.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.92 : 1,916.03 = 546.30 : x
  2. Step 2: Convert to fraction form
    1,276.92/1,916.03 = 546.30/x
  3. Step 3: Cross multiply
    1,276.92x = 1,916.03 × 546.30
  4. Step 4: Simplify right side
    1,276.92x = 1,046,727.19
  5. Step 5: Solve for x
    x = 1,046,727.19/1,276.92
  6. Step 6: Final answer
    x = 819.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.