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Finding the Fourth Proportional to 1,410.25, 2,114.49 and 485.73

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Solution

The fourth proportional to 1,410.25, 2,114.49 and 485.73 is: 728.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.25 : 2,114.49 = 485.73 : x
  2. Step 2: Convert to fraction form
    1,410.25/2,114.49 = 485.73/x
  3. Step 3: Cross multiply
    1,410.25x = 2,114.49 × 485.73
  4. Step 4: Simplify right side
    1,410.25x = 1,027,071.23
  5. Step 5: Solve for x
    x = 1,027,071.23/1,410.25
  6. Step 6: Final answer
    x = 728.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.