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Finding the Fourth Proportional to 1,122.17, 1,683.24 and 300.42

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Solution

The fourth proportional to 1,122.17, 1,683.24 and 300.42 is: 450.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.17 : 1,683.24 = 300.42 : x
  2. Step 2: Convert to fraction form
    1,122.17/1,683.24 = 300.42/x
  3. Step 3: Cross multiply
    1,122.17x = 1,683.24 × 300.42
  4. Step 4: Simplify right side
    1,122.17x = 505,678.96
  5. Step 5: Solve for x
    x = 505,678.96/1,122.17
  6. Step 6: Final answer
    x = 450.63

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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.