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Finding the Fourth Proportional to 1,394.67, 2,091.60 and 528.78

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Solution

The fourth proportional to 1,394.67, 2,091.60 and 528.78 is: 793.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.67 : 2,091.60 = 528.78 : x
  2. Step 2: Convert to fraction form
    1,394.67/2,091.60 = 528.78/x
  3. Step 3: Cross multiply
    1,394.67x = 2,091.60 × 528.78
  4. Step 4: Simplify right side
    1,394.67x = 1,105,996.25
  5. Step 5: Solve for x
    x = 1,105,996.25/1,394.67
  6. Step 6: Final answer
    x = 793.02

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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.