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Finding the Fourth Proportional to 894.07, 1,340.89 and 345.97

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Solution

The fourth proportional to 894.07, 1,340.89 and 345.97 is: 518.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.07 : 1,340.89 = 345.97 : x
  2. Step 2: Convert to fraction form
    894.07/1,340.89 = 345.97/x
  3. Step 3: Cross multiply
    894.07x = 1,340.89 × 345.97
  4. Step 4: Simplify right side
    894.07x = 463,907.71
  5. Step 5: Solve for x
    x = 463,907.71/894.07
  6. Step 6: Final answer
    x = 518.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.