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Finding the Fourth Proportional to 820.06, 1,132.01 and 558.23

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Solution

The fourth proportional to 820.06, 1,132.01 and 558.23 is: 770.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.06 : 1,132.01 = 558.23 : x
  2. Step 2: Convert to fraction form
    820.06/1,132.01 = 558.23/x
  3. Step 3: Cross multiply
    820.06x = 1,132.01 × 558.23
  4. Step 4: Simplify right side
    820.06x = 631,919.15
  5. Step 5: Solve for x
    x = 631,919.15/820.06
  6. Step 6: Final answer
    x = 770.58

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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.