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Finding the Fourth Proportional to 1,216.68, 1,823.64 and 523.92

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Solution

The fourth proportional to 1,216.68, 1,823.64 and 523.92 is: 785.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.68 : 1,823.64 = 523.92 : x
  2. Step 2: Convert to fraction form
    1,216.68/1,823.64 = 523.92/x
  3. Step 3: Cross multiply
    1,216.68x = 1,823.64 × 523.92
  4. Step 4: Simplify right side
    1,216.68x = 955,441.47
  5. Step 5: Solve for x
    x = 955,441.47/1,216.68
  6. Step 6: Final answer
    x = 785.29

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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.