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Finding the Fourth Proportional to 894.92, 1,340.69 and 346.82

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Solution

The fourth proportional to 894.92, 1,340.69 and 346.82 is: 519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.92 : 1,340.69 = 346.82 : x
  2. Step 2: Convert to fraction form
    894.92/1,340.69 = 346.82/x
  3. Step 3: Cross multiply
    894.92x = 1,340.69 × 346.82
  4. Step 4: Simplify right side
    894.92x = 464,969.67
  5. Step 5: Solve for x
    x = 464,969.67/894.92
  6. Step 6: Final answer
    x = 519.57

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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.