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Finding the Fourth Proportional to 1,235.05, 1,851.81 and 454.87

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Solution

The fourth proportional to 1,235.05, 1,851.81 and 454.87 is: 682.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.05 : 1,851.81 = 454.87 : x
  2. Step 2: Convert to fraction form
    1,235.05/1,851.81 = 454.87/x
  3. Step 3: Cross multiply
    1,235.05x = 1,851.81 × 454.87
  4. Step 4: Simplify right side
    1,235.05x = 842,325.57
  5. Step 5: Solve for x
    x = 842,325.57/1,235.05
  6. Step 6: Final answer
    x = 682.02

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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.