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Finding the Fourth Proportional to 1,216.66, 1,823.73 and 566.86

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Solution

The fourth proportional to 1,216.66, 1,823.73 and 566.86 is: 849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.66 : 1,823.73 = 566.86 : x
  2. Step 2: Convert to fraction form
    1,216.66/1,823.73 = 566.86/x
  3. Step 3: Cross multiply
    1,216.66x = 1,823.73 × 566.86
  4. Step 4: Simplify right side
    1,216.66x = 1,033,799.59
  5. Step 5: Solve for x
    x = 1,033,799.59/1,216.66
  6. Step 6: Final answer
    x = 849.70

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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.