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Finding the Fourth Proportional to 1,410.89, 2,114.15 and 544.73

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Solution

The fourth proportional to 1,410.89, 2,114.15 and 544.73 is: 816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.89 : 2,114.15 = 544.73 : x
  2. Step 2: Convert to fraction form
    1,410.89/2,114.15 = 544.73/x
  3. Step 3: Cross multiply
    1,410.89x = 2,114.15 × 544.73
  4. Step 4: Simplify right side
    1,410.89x = 1,151,627.64
  5. Step 5: Solve for x
    x = 1,151,627.64/1,410.89
  6. Step 6: Final answer
    x = 816.24

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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.