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Finding the Fourth Proportional to 598.67, 823.92 and 506.63

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Solution

The fourth proportional to 598.67, 823.92 and 506.63 is: 697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.67 : 823.92 = 506.63 : x
  2. Step 2: Convert to fraction form
    598.67/823.92 = 506.63/x
  3. Step 3: Cross multiply
    598.67x = 823.92 × 506.63
  4. Step 4: Simplify right side
    598.67x = 417,418.47
  5. Step 5: Solve for x
    x = 417,418.47/598.67
  6. Step 6: Final answer
    x = 697.24

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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.