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Finding the Fourth Proportional to 823.06, 1,234.59 and 497.98

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Solution

The fourth proportional to 823.06, 1,234.59 and 497.98 is: 746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.06 : 1,234.59 = 497.98 : x
  2. Step 2: Convert to fraction form
    823.06/1,234.59 = 497.98/x
  3. Step 3: Cross multiply
    823.06x = 1,234.59 × 497.98
  4. Step 4: Simplify right side
    823.06x = 614,801.13
  5. Step 5: Solve for x
    x = 614,801.13/823.06
  6. Step 6: Final answer
    x = 746.97

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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.