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Finding the Fourth Proportional to 1,216.88, 1,824.09 and 524

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Solution

The fourth proportional to 1,216.88, 1,824.09 and 524 is: 785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.88 : 1,824.09 = 524 : x
  2. Step 2: Convert to fraction form
    1,216.88/1,824.09 = 524/x
  3. Step 3: Cross multiply
    1,216.88x = 1,824.09 × 524
  4. Step 4: Simplify right side
    1,216.88x = 955,823.16
  5. Step 5: Solve for x
    x = 955,823.16/1,216.88
  6. Step 6: Final answer
    x = 785.47

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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.