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Finding the Fourth Proportional to 1,619.78, 2,429.74 and 524

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Solution

The fourth proportional to 1,619.78, 2,429.74 and 524 is: 786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.78 : 2,429.74 = 524 : x
  2. Step 2: Convert to fraction form
    1,619.78/2,429.74 = 524/x
  3. Step 3: Cross multiply
    1,619.78x = 2,429.74 × 524
  4. Step 4: Simplify right side
    1,619.78x = 1,273,183.76
  5. Step 5: Solve for x
    x = 1,273,183.76/1,619.78
  6. Step 6: Final answer
    x = 786.02

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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.