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Finding the Fourth Proportional to 1,276.25, 1,914.98 and 626.63

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Solution

The fourth proportional to 1,276.25, 1,914.98 and 626.63 is: 940.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.25 : 1,914.98 = 626.63 : x
  2. Step 2: Convert to fraction form
    1,276.25/1,914.98 = 626.63/x
  3. Step 3: Cross multiply
    1,276.25x = 1,914.98 × 626.63
  4. Step 4: Simplify right side
    1,276.25x = 1,199,971.21
  5. Step 5: Solve for x
    x = 1,199,971.21/1,276.25
  6. Step 6: Final answer
    x = 940.24

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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.