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Finding the Fourth Proportional to 792.53, 1,093.25 and 559.25

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Solution

The fourth proportional to 792.53, 1,093.25 and 559.25 is: 771.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.53 : 1,093.25 = 559.25 : x
  2. Step 2: Convert to fraction form
    792.53/1,093.25 = 559.25/x
  3. Step 3: Cross multiply
    792.53x = 1,093.25 × 559.25
  4. Step 4: Simplify right side
    792.53x = 611,397.27
  5. Step 5: Solve for x
    x = 611,397.27/792.53
  6. Step 6: Final answer
    x = 771.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.