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Finding the Fourth Proportional to 1,113.12, 1,669.62 and 496.44

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Solution

The fourth proportional to 1,113.12, 1,669.62 and 496.44 is: 744.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.12 : 1,669.62 = 496.44 : x
  2. Step 2: Convert to fraction form
    1,113.12/1,669.62 = 496.44/x
  3. Step 3: Cross multiply
    1,113.12x = 1,669.62 × 496.44
  4. Step 4: Simplify right side
    1,113.12x = 828,866.15
  5. Step 5: Solve for x
    x = 828,866.15/1,113.12
  6. Step 6: Final answer
    x = 744.63

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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.