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Finding the Fourth Proportional to 676.14, 1,018.19 and 596.04

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Solution

The fourth proportional to 676.14, 1,018.19 and 596.04 is: 897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.14 : 1,018.19 = 596.04 : x
  2. Step 2: Convert to fraction form
    676.14/1,018.19 = 596.04/x
  3. Step 3: Cross multiply
    676.14x = 1,018.19 × 596.04
  4. Step 4: Simplify right side
    676.14x = 606,878.99
  5. Step 5: Solve for x
    x = 606,878.99/676.14
  6. Step 6: Final answer
    x = 897.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.