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Finding the Fourth Proportional to 1,276.20, 1,913.76 and 454.32

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Solution

The fourth proportional to 1,276.20, 1,913.76 and 454.32 is: 681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.20 : 1,913.76 = 454.32 : x
  2. Step 2: Convert to fraction form
    1,276.20/1,913.76 = 454.32/x
  3. Step 3: Cross multiply
    1,276.20x = 1,913.76 × 454.32
  4. Step 4: Simplify right side
    1,276.20x = 869,459.44
  5. Step 5: Solve for x
    x = 869,459.44/1,276.20
  6. Step 6: Final answer
    x = 681.29

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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.