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Finding the Fourth Proportional to 674.06, 1,010.04 and 465.56

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Solution

The fourth proportional to 674.06, 1,010.04 and 465.56 is: 697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.06 : 1,010.04 = 465.56 : x
  2. Step 2: Convert to fraction form
    674.06/1,010.04 = 465.56/x
  3. Step 3: Cross multiply
    674.06x = 1,010.04 × 465.56
  4. Step 4: Simplify right side
    674.06x = 470,234.22
  5. Step 5: Solve for x
    x = 470,234.22/674.06
  6. Step 6: Final answer
    x = 697.61

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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.