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Finding the Fourth Proportional to 676.16, 1,013.57 and 286.26

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Solution

The fourth proportional to 676.16, 1,013.57 and 286.26 is: 429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.16 : 1,013.57 = 286.26 : x
  2. Step 2: Convert to fraction form
    676.16/1,013.57 = 286.26/x
  3. Step 3: Cross multiply
    676.16x = 1,013.57 × 286.26
  4. Step 4: Simplify right side
    676.16x = 290,143.12
  5. Step 5: Solve for x
    x = 290,143.12/676.16
  6. Step 6: Final answer
    x = 429.10

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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.