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Finding the Fourth Proportional to 1,606.71, 2,410.42 and 683.06

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Solution

The fourth proportional to 1,606.71, 2,410.42 and 683.06 is: 1,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.71 : 2,410.42 = 683.06 : x
  2. Step 2: Convert to fraction form
    1,606.71/2,410.42 = 683.06/x
  3. Step 3: Cross multiply
    1,606.71x = 2,410.42 × 683.06
  4. Step 4: Simplify right side
    1,606.71x = 1,646,456.75
  5. Step 5: Solve for x
    x = 1,646,456.75/1,606.71
  6. Step 6: Final answer
    x = 1,024.74

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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.