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Finding the Fourth Proportional to 820.81, 1,133.03 and 559.00

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Solution

The fourth proportional to 820.81, 1,133.03 and 559.00 is: 771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.81 : 1,133.03 = 559.00 : x
  2. Step 2: Convert to fraction form
    820.81/1,133.03 = 559.00/x
  3. Step 3: Cross multiply
    820.81x = 1,133.03 × 559.00
  4. Step 4: Simplify right side
    820.81x = 633,355.31
  5. Step 5: Solve for x
    x = 633,355.31/820.81
  6. Step 6: Final answer
    x = 771.63

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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.