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Finding the Fourth Proportional to 1,276.20, 1,913.70 and 454.23

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Solution

The fourth proportional to 1,276.20, 1,913.70 and 454.23 is: 681.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.20 : 1,913.70 = 454.23 : x
  2. Step 2: Convert to fraction form
    1,276.20/1,913.70 = 454.23/x
  3. Step 3: Cross multiply
    1,276.20x = 1,913.70 × 454.23
  4. Step 4: Simplify right side
    1,276.20x = 869,259.95
  5. Step 5: Solve for x
    x = 869,259.95/1,276.20
  6. Step 6: Final answer
    x = 681.13

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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.