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Finding the Fourth Proportional to 797.83, 1,100.25 and 528.18

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Solution

The fourth proportional to 797.83, 1,100.25 and 528.18 is: 728.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.83 : 1,100.25 = 528.18 : x
  2. Step 2: Convert to fraction form
    797.83/1,100.25 = 528.18/x
  3. Step 3: Cross multiply
    797.83x = 1,100.25 × 528.18
  4. Step 4: Simplify right side
    797.83x = 581,130.05
  5. Step 5: Solve for x
    x = 581,130.05/797.83
  6. Step 6: Final answer
    x = 728.39

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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.