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Finding the Fourth Proportional to 1,276.49, 1,913.63 and 546.55

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Solution

The fourth proportional to 1,276.49, 1,913.63 and 546.55 is: 819.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.49 : 1,913.63 = 546.55 : x
  2. Step 2: Convert to fraction form
    1,276.49/1,913.63 = 546.55/x
  3. Step 3: Cross multiply
    1,276.49x = 1,913.63 × 546.55
  4. Step 4: Simplify right side
    1,276.49x = 1,045,886.96
  5. Step 5: Solve for x
    x = 1,045,886.96/1,276.49
  6. Step 6: Final answer
    x = 819.34

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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.