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Finding the Fourth Proportional to 894.85, 1,342.02 and 309.83

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Solution

The fourth proportional to 894.85, 1,342.02 and 309.83 is: 464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.85 : 1,342.02 = 309.83 : x
  2. Step 2: Convert to fraction form
    894.85/1,342.02 = 309.83/x
  3. Step 3: Cross multiply
    894.85x = 1,342.02 × 309.83
  4. Step 4: Simplify right side
    894.85x = 415,794.10
  5. Step 5: Solve for x
    x = 415,794.10/894.85
  6. Step 6: Final answer
    x = 464.65

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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.