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Finding the Fourth Proportional to 1,014.94, 1,400.62 and 549.19

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Solution

The fourth proportional to 1,014.94, 1,400.62 and 549.19 is: 757.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.94 : 1,400.62 = 549.19 : x
  2. Step 2: Convert to fraction form
    1,014.94/1,400.62 = 549.19/x
  3. Step 3: Cross multiply
    1,014.94x = 1,400.62 × 549.19
  4. Step 4: Simplify right side
    1,014.94x = 769,201.62
  5. Step 5: Solve for x
    x = 769,201.62/1,014.94
  6. Step 6: Final answer
    x = 757.88

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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.