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Finding the Fourth Proportional to 674.83, 1,009.93 and 414.66

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Solution

The fourth proportional to 674.83, 1,009.93 and 414.66 is: 620.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.83 : 1,009.93 = 414.66 : x
  2. Step 2: Convert to fraction form
    674.83/1,009.93 = 414.66/x
  3. Step 3: Cross multiply
    674.83x = 1,009.93 × 414.66
  4. Step 4: Simplify right side
    674.83x = 418,777.57
  5. Step 5: Solve for x
    x = 418,777.57/674.83
  6. Step 6: Final answer
    x = 620.57

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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.