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Finding the Fourth Proportional to 1,235.01, 1,851.42 and 650.19

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Solution

The fourth proportional to 1,235.01, 1,851.42 and 650.19 is: 974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.01 : 1,851.42 = 650.19 : x
  2. Step 2: Convert to fraction form
    1,235.01/1,851.42 = 650.19/x
  3. Step 3: Cross multiply
    1,235.01x = 1,851.42 × 650.19
  4. Step 4: Simplify right side
    1,235.01x = 1,203,774.77
  5. Step 5: Solve for x
    x = 1,203,774.77/1,235.01
  6. Step 6: Final answer
    x = 974.71

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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.