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Finding the Fourth Proportional to 1,217.71, 1,826.66 and 524.39

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Solution

The fourth proportional to 1,217.71, 1,826.66 and 524.39 is: 786.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.71 : 1,826.66 = 524.39 : x
  2. Step 2: Convert to fraction form
    1,217.71/1,826.66 = 524.39/x
  3. Step 3: Cross multiply
    1,217.71x = 1,826.66 × 524.39
  4. Step 4: Simplify right side
    1,217.71x = 957,882.24
  5. Step 5: Solve for x
    x = 957,882.24/1,217.71
  6. Step 6: Final answer
    x = 786.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.