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Finding the Fourth Proportional to 1,014, 1,399.40 and 600.08

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Solution

The fourth proportional to 1,014, 1,399.40 and 600.08 is: 828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014 : 1,399.40 = 600.08 : x
  2. Step 2: Convert to fraction form
    1,014/1,399.40 = 600.08/x
  3. Step 3: Cross multiply
    1,014x = 1,399.40 × 600.08
  4. Step 4: Simplify right side
    1,014x = 839,751.95
  5. Step 5: Solve for x
    x = 839,751.95/1,014
  6. Step 6: Final answer
    x = 828.16

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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.