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Finding the Fourth Proportional to 1,619.88, 2,429.31 and 524

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Solution

The fourth proportional to 1,619.88, 2,429.31 and 524 is: 785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.88 : 2,429.31 = 524 : x
  2. Step 2: Convert to fraction form
    1,619.88/2,429.31 = 524/x
  3. Step 3: Cross multiply
    1,619.88x = 2,429.31 × 524
  4. Step 4: Simplify right side
    1,619.88x = 1,272,958.44
  5. Step 5: Solve for x
    x = 1,272,958.44/1,619.88
  6. Step 6: Final answer
    x = 785.84

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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.