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Finding the Fourth Proportional to 1,606.75, 2,410.77 and 566.86

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Solution

The fourth proportional to 1,606.75, 2,410.77 and 566.86 is: 850.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.75 : 2,410.77 = 566.86 : x
  2. Step 2: Convert to fraction form
    1,606.75/2,410.77 = 566.86/x
  3. Step 3: Cross multiply
    1,606.75x = 2,410.77 × 566.86
  4. Step 4: Simplify right side
    1,606.75x = 1,366,569.08
  5. Step 5: Solve for x
    x = 1,366,569.08/1,606.75
  6. Step 6: Final answer
    x = 850.52

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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.