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Finding the Fourth Proportional to 676.40, 1,013.40 and 580.40

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Solution

The fourth proportional to 676.40, 1,013.40 and 580.40 is: 869.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.40 : 1,013.40 = 580.40 : x
  2. Step 2: Convert to fraction form
    676.40/1,013.40 = 580.40/x
  3. Step 3: Cross multiply
    676.40x = 1,013.40 × 580.40
  4. Step 4: Simplify right side
    676.40x = 588,177.36
  5. Step 5: Solve for x
    x = 588,177.36/676.40
  6. Step 6: Final answer
    x = 869.57

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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.