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Finding the Fourth Proportional to 1,114.53, 1,672.42 and 421.66

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Solution

The fourth proportional to 1,114.53, 1,672.42 and 421.66 is: 632.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.53 : 1,672.42 = 421.66 : x
  2. Step 2: Convert to fraction form
    1,114.53/1,672.42 = 421.66/x
  3. Step 3: Cross multiply
    1,114.53x = 1,672.42 × 421.66
  4. Step 4: Simplify right side
    1,114.53x = 705,192.62
  5. Step 5: Solve for x
    x = 705,192.62/1,114.53
  6. Step 6: Final answer
    x = 632.73

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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.