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Finding the Fourth Proportional to 1,115.84, 1,675.13 and 523.44

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Solution

The fourth proportional to 1,115.84, 1,675.13 and 523.44 is: 785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.84 : 1,675.13 = 523.44 : x
  2. Step 2: Convert to fraction form
    1,115.84/1,675.13 = 523.44/x
  3. Step 3: Cross multiply
    1,115.84x = 1,675.13 × 523.44
  4. Step 4: Simplify right side
    1,115.84x = 876,827.43
  5. Step 5: Solve for x
    x = 876,827.43/1,115.84
  6. Step 6: Final answer
    x = 785.80

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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.