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Finding the Fourth Proportional to 1,152.13, 1,729.11 and 421.93

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Solution

The fourth proportional to 1,152.13, 1,729.11 and 421.93 is: 633.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.13 : 1,729.11 = 421.93 : x
  2. Step 2: Convert to fraction form
    1,152.13/1,729.11 = 421.93/x
  3. Step 3: Cross multiply
    1,152.13x = 1,729.11 × 421.93
  4. Step 4: Simplify right side
    1,152.13x = 729,563.38
  5. Step 5: Solve for x
    x = 729,563.38/1,152.13
  6. Step 6: Final answer
    x = 633.23

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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.