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Finding the Fourth Proportional to 961.85, 1,442.94 and 345.59

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Solution

The fourth proportional to 961.85, 1,442.94 and 345.59 is: 518.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.85 : 1,442.94 = 345.59 : x
  2. Step 2: Convert to fraction form
    961.85/1,442.94 = 345.59/x
  3. Step 3: Cross multiply
    961.85x = 1,442.94 × 345.59
  4. Step 4: Simplify right side
    961.85x = 498,665.63
  5. Step 5: Solve for x
    x = 498,665.63/961.85
  6. Step 6: Final answer
    x = 518.44

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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.