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Finding the Fourth Proportional to 1,014.42, 1,399.86 and 621.57

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Solution

The fourth proportional to 1,014.42, 1,399.86 and 621.57 is: 857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.42 : 1,399.86 = 621.57 : x
  2. Step 2: Convert to fraction form
    1,014.42/1,399.86 = 621.57/x
  3. Step 3: Cross multiply
    1,014.42x = 1,399.86 × 621.57
  4. Step 4: Simplify right side
    1,014.42x = 870,110.98
  5. Step 5: Solve for x
    x = 870,110.98/1,014.42
  6. Step 6: Final answer
    x = 857.74

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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.