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Finding the Fourth Proportional to 670.46, 1,003.16 and 452.96

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Solution

The fourth proportional to 670.46, 1,003.16 and 452.96 is: 677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.46 : 1,003.16 = 452.96 : x
  2. Step 2: Convert to fraction form
    670.46/1,003.16 = 452.96/x
  3. Step 3: Cross multiply
    670.46x = 1,003.16 × 452.96
  4. Step 4: Simplify right side
    670.46x = 454,391.35
  5. Step 5: Solve for x
    x = 454,391.35/670.46
  6. Step 6: Final answer
    x = 677.73

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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.