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Finding the Fourth Proportional to 811.22, 1,119.32 and 496.55

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Solution

The fourth proportional to 811.22, 1,119.32 and 496.55 is: 685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.22 : 1,119.32 = 496.55 : x
  2. Step 2: Convert to fraction form
    811.22/1,119.32 = 496.55/x
  3. Step 3: Cross multiply
    811.22x = 1,119.32 × 496.55
  4. Step 4: Simplify right side
    811.22x = 555,798.35
  5. Step 5: Solve for x
    x = 555,798.35/811.22
  6. Step 6: Final answer
    x = 685.14

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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.