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Finding the Fourth Proportional to 1,216.29, 1,823.57 and 566.67

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Solution

The fourth proportional to 1,216.29, 1,823.57 and 566.67 is: 849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.29 : 1,823.57 = 566.67 : x
  2. Step 2: Convert to fraction form
    1,216.29/1,823.57 = 566.67/x
  3. Step 3: Cross multiply
    1,216.29x = 1,823.57 × 566.67
  4. Step 4: Simplify right side
    1,216.29x = 1,033,359.58
  5. Step 5: Solve for x
    x = 1,033,359.58/1,216.29
  6. Step 6: Final answer
    x = 849.60

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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.