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Finding the Fourth Proportional to 794.34, 1,093.77 and 653.94

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Solution

The fourth proportional to 794.34, 1,093.77 and 653.94 is: 900.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.34 : 1,093.77 = 653.94 : x
  2. Step 2: Convert to fraction form
    794.34/1,093.77 = 653.94/x
  3. Step 3: Cross multiply
    794.34x = 1,093.77 × 653.94
  4. Step 4: Simplify right side
    794.34x = 715,259.95
  5. Step 5: Solve for x
    x = 715,259.95/794.34
  6. Step 6: Final answer
    x = 900.45

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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.