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Finding the Fourth Proportional to 1,394.54, 2,092.71 and 528.86

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Solution

The fourth proportional to 1,394.54, 2,092.71 and 528.86 is: 793.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.54 : 2,092.71 = 528.86 : x
  2. Step 2: Convert to fraction form
    1,394.54/2,092.71 = 528.86/x
  3. Step 3: Cross multiply
    1,394.54x = 2,092.71 × 528.86
  4. Step 4: Simplify right side
    1,394.54x = 1,106,750.61
  5. Step 5: Solve for x
    x = 1,106,750.61/1,394.54
  6. Step 6: Final answer
    x = 793.63

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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.