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Finding the Fourth Proportional to 598.78, 827.11 and 499.52

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Solution

The fourth proportional to 598.78, 827.11 and 499.52 is: 690.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.78 : 827.11 = 499.52 : x
  2. Step 2: Convert to fraction form
    598.78/827.11 = 499.52/x
  3. Step 3: Cross multiply
    598.78x = 827.11 × 499.52
  4. Step 4: Simplify right side
    598.78x = 413,157.99
  5. Step 5: Solve for x
    x = 413,157.99/598.78
  6. Step 6: Final answer
    x = 690.00

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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.