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Finding the Fourth Proportional to 894.93, 1,234.96 and 502.03

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Solution

The fourth proportional to 894.93, 1,234.96 and 502.03 is: 692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.93 : 1,234.96 = 502.03 : x
  2. Step 2: Convert to fraction form
    894.93/1,234.96 = 502.03/x
  3. Step 3: Cross multiply
    894.93x = 1,234.96 × 502.03
  4. Step 4: Simplify right side
    894.93x = 619,986.97
  5. Step 5: Solve for x
    x = 619,986.97/894.93
  6. Step 6: Final answer
    x = 692.78

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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.