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Finding the Fourth Proportional to 1,014.93, 1,523.61 and 623.79

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Solution

The fourth proportional to 1,014.93, 1,523.61 and 623.79 is: 936.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.93 : 1,523.61 = 623.79 : x
  2. Step 2: Convert to fraction form
    1,014.93/1,523.61 = 623.79/x
  3. Step 3: Cross multiply
    1,014.93x = 1,523.61 × 623.79
  4. Step 4: Simplify right side
    1,014.93x = 950,412.68
  5. Step 5: Solve for x
    x = 950,412.68/1,014.93
  6. Step 6: Final answer
    x = 936.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.