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Finding the Fourth Proportional to 1,113.28, 1,669.74 and 419.89

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Solution

The fourth proportional to 1,113.28, 1,669.74 and 419.89 is: 629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.28 : 1,669.74 = 419.89 : x
  2. Step 2: Convert to fraction form
    1,113.28/1,669.74 = 419.89/x
  3. Step 3: Cross multiply
    1,113.28x = 1,669.74 × 419.89
  4. Step 4: Simplify right side
    1,113.28x = 701,107.13
  5. Step 5: Solve for x
    x = 701,107.13/1,113.28
  6. Step 6: Final answer
    x = 629.77

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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.