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Finding the Fourth Proportional to 1,410.35, 2,113.20 and 485.42

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Solution

The fourth proportional to 1,410.35, 2,113.20 and 485.42 is: 727.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.35 : 2,113.20 = 485.42 : x
  2. Step 2: Convert to fraction form
    1,410.35/2,113.20 = 485.42/x
  3. Step 3: Cross multiply
    1,410.35x = 2,113.20 × 485.42
  4. Step 4: Simplify right side
    1,410.35x = 1,025,778.98
  5. Step 5: Solve for x
    x = 1,025,778.98/1,410.35
  6. Step 6: Final answer
    x = 727.32

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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.