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Finding the Fourth Proportional to 1,602.44, 2,403.90 and 628.52

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Solution

The fourth proportional to 1,602.44, 2,403.90 and 628.52 is: 942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.44 : 2,403.90 = 628.52 : x
  2. Step 2: Convert to fraction form
    1,602.44/2,403.90 = 628.52/x
  3. Step 3: Cross multiply
    1,602.44x = 2,403.90 × 628.52
  4. Step 4: Simplify right side
    1,602.44x = 1,510,899.23
  5. Step 5: Solve for x
    x = 1,510,899.23/1,602.44
  6. Step 6: Final answer
    x = 942.87

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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.