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Finding the Fourth Proportional to 670.09, 1,004.23 and 396.13

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Solution

The fourth proportional to 670.09, 1,004.23 and 396.13 is: 593.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.09 : 1,004.23 = 396.13 : x
  2. Step 2: Convert to fraction form
    670.09/1,004.23 = 396.13/x
  3. Step 3: Cross multiply
    670.09x = 1,004.23 × 396.13
  4. Step 4: Simplify right side
    670.09x = 397,805.63
  5. Step 5: Solve for x
    x = 397,805.63/670.09
  6. Step 6: Final answer
    x = 593.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.