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Finding the Fourth Proportional to 1,078.63, 1,618.17 and 523.74

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Solution

The fourth proportional to 1,078.63, 1,618.17 and 523.74 is: 785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.63 : 1,618.17 = 523.74 : x
  2. Step 2: Convert to fraction form
    1,078.63/1,618.17 = 523.74/x
  3. Step 3: Cross multiply
    1,078.63x = 1,618.17 × 523.74
  4. Step 4: Simplify right side
    1,078.63x = 847,492.26
  5. Step 5: Solve for x
    x = 847,492.26/1,078.63
  6. Step 6: Final answer
    x = 785.71

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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.