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Finding the Fourth Proportional to 676.34, 1,013.10 and 594.18

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Solution

The fourth proportional to 676.34, 1,013.10 and 594.18 is: 890.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.34 : 1,013.10 = 594.18 : x
  2. Step 2: Convert to fraction form
    676.34/1,013.10 = 594.18/x
  3. Step 3: Cross multiply
    676.34x = 1,013.10 × 594.18
  4. Step 4: Simplify right side
    676.34x = 601,958.69
  5. Step 5: Solve for x
    x = 601,958.69/676.34
  6. Step 6: Final answer
    x = 890.02

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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.