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Finding the Fourth Proportional to 670.61, 1,003.40 and 396.83

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Solution

The fourth proportional to 670.61, 1,003.40 and 396.83 is: 593.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.61 : 1,003.40 = 396.83 : x
  2. Step 2: Convert to fraction form
    670.61/1,003.40 = 396.83/x
  3. Step 3: Cross multiply
    670.61x = 1,003.40 × 396.83
  4. Step 4: Simplify right side
    670.61x = 398,177.24
  5. Step 5: Solve for x
    x = 398,177.24/670.61
  6. Step 6: Final answer
    x = 593.75

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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.