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Finding the Fourth Proportional to 670.19, 1,003.64 and 396.36

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Solution

The fourth proportional to 670.19, 1,003.64 and 396.36 is: 593.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.19 : 1,003.64 = 396.36 : x
  2. Step 2: Convert to fraction form
    670.19/1,003.64 = 396.36/x
  3. Step 3: Cross multiply
    670.19x = 1,003.64 × 396.36
  4. Step 4: Simplify right side
    670.19x = 397,800.77
  5. Step 5: Solve for x
    x = 397,800.77/670.19
  6. Step 6: Final answer
    x = 593.57

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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.