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Finding the Fourth Proportional to 1,014, 1,399.47 and 621.26

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Solution

The fourth proportional to 1,014, 1,399.47 and 621.26 is: 857.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014 : 1,399.47 = 621.26 : x
  2. Step 2: Convert to fraction form
    1,014/1,399.47 = 621.26/x
  3. Step 3: Cross multiply
    1,014x = 1,399.47 × 621.26
  4. Step 4: Simplify right side
    1,014x = 869,427.73
  5. Step 5: Solve for x
    x = 869,427.73/1,014
  6. Step 6: Final answer
    x = 857.42

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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.