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Finding the Fourth Proportional to 1,577.03, 2,365.67 and 422.75

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Solution

The fourth proportional to 1,577.03, 2,365.67 and 422.75 is: 634.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.03 : 2,365.67 = 422.75 : x
  2. Step 2: Convert to fraction form
    1,577.03/2,365.67 = 422.75/x
  3. Step 3: Cross multiply
    1,577.03x = 2,365.67 × 422.75
  4. Step 4: Simplify right side
    1,577.03x = 1,000,086.99
  5. Step 5: Solve for x
    x = 1,000,086.99/1,577.03
  6. Step 6: Final answer
    x = 634.16

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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.