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Finding the Fourth Proportional to 1,113.05, 1,669.05 and 496.43

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Solution

The fourth proportional to 1,113.05, 1,669.05 and 496.43 is: 744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.05 : 1,669.05 = 496.43 : x
  2. Step 2: Convert to fraction form
    1,113.05/1,669.05 = 496.43/x
  3. Step 3: Cross multiply
    1,113.05x = 1,669.05 × 496.43
  4. Step 4: Simplify right side
    1,113.05x = 828,558.15
  5. Step 5: Solve for x
    x = 828,558.15/1,113.05
  6. Step 6: Final answer
    x = 744.41

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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.