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Finding the Fourth Proportional to 1,216.76, 1,824.54 and 566.94

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Solution

The fourth proportional to 1,216.76, 1,824.54 and 566.94 is: 850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.76 : 1,824.54 = 566.94 : x
  2. Step 2: Convert to fraction form
    1,216.76/1,824.54 = 566.94/x
  3. Step 3: Cross multiply
    1,216.76x = 1,824.54 × 566.94
  4. Step 4: Simplify right side
    1,216.76x = 1,034,404.71
  5. Step 5: Solve for x
    x = 1,034,404.71/1,216.76
  6. Step 6: Final answer
    x = 850.13

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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.