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Finding the Fourth Proportional to 794.88, 1,097.32 and 529.77

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Solution

The fourth proportional to 794.88, 1,097.32 and 529.77 is: 731.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.88 : 1,097.32 = 529.77 : x
  2. Step 2: Convert to fraction form
    794.88/1,097.32 = 529.77/x
  3. Step 3: Cross multiply
    794.88x = 1,097.32 × 529.77
  4. Step 4: Simplify right side
    794.88x = 581,323.05
  5. Step 5: Solve for x
    x = 581,323.05/794.88
  6. Step 6: Final answer
    x = 731.33

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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.