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Finding the Fourth Proportional to 893.67, 1,340.73 and 345.89

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Solution

The fourth proportional to 893.67, 1,340.73 and 345.89 is: 518.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.67 : 1,340.73 = 345.89 : x
  2. Step 2: Convert to fraction form
    893.67/1,340.73 = 345.89/x
  3. Step 3: Cross multiply
    893.67x = 1,340.73 × 345.89
  4. Step 4: Simplify right side
    893.67x = 463,738.40
  5. Step 5: Solve for x
    x = 463,738.40/893.67
  6. Step 6: Final answer
    x = 518.91

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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.