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Finding the Fourth Proportional to 1,608.02, 2,410.14 and 683.30

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Solution

The fourth proportional to 1,608.02, 2,410.14 and 683.30 is: 1,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.02 : 2,410.14 = 683.30 : x
  2. Step 2: Convert to fraction form
    1,608.02/2,410.14 = 683.30/x
  3. Step 3: Cross multiply
    1,608.02x = 2,410.14 × 683.30
  4. Step 4: Simplify right side
    1,608.02x = 1,646,848.66
  5. Step 5: Solve for x
    x = 1,646,848.66/1,608.02
  6. Step 6: Final answer
    x = 1,024.15

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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.