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Finding the Fourth Proportional to 676.70, 1,013.91 and 429.29

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Solution

The fourth proportional to 676.70, 1,013.91 and 429.29 is: 643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.70 : 1,013.91 = 429.29 : x
  2. Step 2: Convert to fraction form
    676.70/1,013.91 = 429.29/x
  3. Step 3: Cross multiply
    676.70x = 1,013.91 × 429.29
  4. Step 4: Simplify right side
    676.70x = 435,264.25
  5. Step 5: Solve for x
    x = 435,264.25/676.70
  6. Step 6: Final answer
    x = 643.22

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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.