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Finding the Fourth Proportional to 914.67, 1,261.25 and 619.43

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Solution

The fourth proportional to 914.67, 1,261.25 and 619.43 is: 854.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.67 : 1,261.25 = 619.43 : x
  2. Step 2: Convert to fraction form
    914.67/1,261.25 = 619.43/x
  3. Step 3: Cross multiply
    914.67x = 1,261.25 × 619.43
  4. Step 4: Simplify right side
    914.67x = 781,246.68
  5. Step 5: Solve for x
    x = 781,246.68/914.67
  6. Step 6: Final answer
    x = 854.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.