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Finding the Fourth Proportional to 1,014.36, 1,399.77 and 616.06

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Solution

The fourth proportional to 1,014.36, 1,399.77 and 616.06 is: 850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.36 : 1,399.77 = 616.06 : x
  2. Step 2: Convert to fraction form
    1,014.36/1,399.77 = 616.06/x
  3. Step 3: Cross multiply
    1,014.36x = 1,399.77 × 616.06
  4. Step 4: Simplify right side
    1,014.36x = 862,344.06
  5. Step 5: Solve for x
    x = 862,344.06/1,014.36
  6. Step 6: Final answer
    x = 850.14

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Why These Related Problems?

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