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Finding the Fourth Proportional to 1,276.18, 1,914.55 and 618.53

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Solution

The fourth proportional to 1,276.18, 1,914.55 and 618.53 is: 927.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.18 : 1,914.55 = 618.53 : x
  2. Step 2: Convert to fraction form
    1,276.18/1,914.55 = 618.53/x
  3. Step 3: Cross multiply
    1,276.18x = 1,914.55 × 618.53
  4. Step 4: Simplify right side
    1,276.18x = 1,184,195.49
  5. Step 5: Solve for x
    x = 1,184,195.49/1,276.18
  6. Step 6: Final answer
    x = 927.92

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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.