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Finding the Fourth Proportional to 1,276.49, 1,913.66 and 546.59

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Solution

The fourth proportional to 1,276.49, 1,913.66 and 546.59 is: 819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.49 : 1,913.66 = 546.59 : x
  2. Step 2: Convert to fraction form
    1,276.49/1,913.66 = 546.59/x
  3. Step 3: Cross multiply
    1,276.49x = 1,913.66 × 546.59
  4. Step 4: Simplify right side
    1,276.49x = 1,045,984.69
  5. Step 5: Solve for x
    x = 1,045,984.69/1,276.49
  6. Step 6: Final answer
    x = 819.42

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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.