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Finding the Fourth Proportional to 783.22, 1,173.72 and 536.20

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Solution

The fourth proportional to 783.22, 1,173.72 and 536.20 is: 803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.22 : 1,173.72 = 536.20 : x
  2. Step 2: Convert to fraction form
    783.22/1,173.72 = 536.20/x
  3. Step 3: Cross multiply
    783.22x = 1,173.72 × 536.20
  4. Step 4: Simplify right side
    783.22x = 629,348.66
  5. Step 5: Solve for x
    x = 629,348.66/783.22
  6. Step 6: Final answer
    x = 803.54

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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.