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Finding the Fourth Proportional to 583.67, 794.68 and 581.85

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Solution

The fourth proportional to 583.67, 794.68 and 581.85 is: 792.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.67 : 794.68 = 581.85 : x
  2. Step 2: Convert to fraction form
    583.67/794.68 = 581.85/x
  3. Step 3: Cross multiply
    583.67x = 794.68 × 581.85
  4. Step 4: Simplify right side
    583.67x = 462,383.10
  5. Step 5: Solve for x
    x = 462,383.10/583.67
  6. Step 6: Final answer
    x = 792.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.