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Finding the Fourth Proportional to 1,074.68, 1,610.58 and 496.28

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Solution

The fourth proportional to 1,074.68, 1,610.58 and 496.28 is: 743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.68 : 1,610.58 = 496.28 : x
  2. Step 2: Convert to fraction form
    1,074.68/1,610.58 = 496.28/x
  3. Step 3: Cross multiply
    1,074.68x = 1,610.58 × 496.28
  4. Step 4: Simplify right side
    1,074.68x = 799,298.64
  5. Step 5: Solve for x
    x = 799,298.64/1,074.68
  6. Step 6: Final answer
    x = 743.76

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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.