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Finding the Fourth Proportional to 817.12, 1,220.24 and 775.00

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Solution

The fourth proportional to 817.12, 1,220.24 and 775.00 is: 1,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.12 : 1,220.24 = 775.00 : x
  2. Step 2: Convert to fraction form
    817.12/1,220.24 = 775.00/x
  3. Step 3: Cross multiply
    817.12x = 1,220.24 × 775.00
  4. Step 4: Simplify right side
    817.12x = 945,676.02
  5. Step 5: Solve for x
    x = 945,676.02/817.12
  6. Step 6: Final answer
    x = 1,157.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.