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Finding the Fourth Proportional to 796.58, 1,196.70 and 566.03

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Solution

The fourth proportional to 796.58, 1,196.70 and 566.03 is: 850.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.58 : 1,196.70 = 566.03 : x
  2. Step 2: Convert to fraction form
    796.58/1,196.70 = 566.03/x
  3. Step 3: Cross multiply
    796.58x = 1,196.70 × 566.03
  4. Step 4: Simplify right side
    796.58x = 677,368.10
  5. Step 5: Solve for x
    x = 677,368.10/796.58
  6. Step 6: Final answer
    x = 850.35

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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.