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Finding the Fourth Proportional to 1,661.83, 2,493.16 and 566.20

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Solution

The fourth proportional to 1,661.83, 2,493.16 and 566.20 is: 849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.83 : 2,493.16 = 566.20 : x
  2. Step 2: Convert to fraction form
    1,661.83/2,493.16 = 566.20/x
  3. Step 3: Cross multiply
    1,661.83x = 2,493.16 × 566.20
  4. Step 4: Simplify right side
    1,661.83x = 1,411,624.36
  5. Step 5: Solve for x
    x = 1,411,624.36/1,661.83
  6. Step 6: Final answer
    x = 849.44

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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.