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Finding the Fourth Proportional to 674.97, 1,008.59 and 507.09

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Solution

The fourth proportional to 674.97, 1,008.59 and 507.09 is: 757.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.97 : 1,008.59 = 507.09 : x
  2. Step 2: Convert to fraction form
    674.97/1,008.59 = 507.09/x
  3. Step 3: Cross multiply
    674.97x = 1,008.59 × 507.09
  4. Step 4: Simplify right side
    674.97x = 511,445.90
  5. Step 5: Solve for x
    x = 511,445.90/674.97
  6. Step 6: Final answer
    x = 757.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.