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Finding the Fourth Proportional to 674.03, 1,009.41 and 456.95

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Solution

The fourth proportional to 674.03, 1,009.41 and 456.95 is: 684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.03 : 1,009.41 = 456.95 : x
  2. Step 2: Convert to fraction form
    674.03/1,009.41 = 456.95/x
  3. Step 3: Cross multiply
    674.03x = 1,009.41 × 456.95
  4. Step 4: Simplify right side
    674.03x = 461,249.90
  5. Step 5: Solve for x
    x = 461,249.90/674.03
  6. Step 6: Final answer
    x = 684.32

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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.