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Finding the Fourth Proportional to 1,014.38, 1,399.84 and 548.63

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Solution

The fourth proportional to 1,014.38, 1,399.84 and 548.63 is: 757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.38 : 1,399.84 = 548.63 : x
  2. Step 2: Convert to fraction form
    1,014.38/1,399.84 = 548.63/x
  3. Step 3: Cross multiply
    1,014.38x = 1,399.84 × 548.63
  4. Step 4: Simplify right side
    1,014.38x = 767,984.48
  5. Step 5: Solve for x
    x = 767,984.48/1,014.38
  6. Step 6: Final answer
    x = 757.10

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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.