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Finding the Fourth Proportional to 862.00, 1,189.08 and 562.83

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Solution

The fourth proportional to 862.00, 1,189.08 and 562.83 is: 776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.00 : 1,189.08 = 562.83 : x
  2. Step 2: Convert to fraction form
    862.00/1,189.08 = 562.83/x
  3. Step 3: Cross multiply
    862.00x = 1,189.08 × 562.83
  4. Step 4: Simplify right side
    862.00x = 669,245.44
  5. Step 5: Solve for x
    x = 669,245.44/862.00
  6. Step 6: Final answer
    x = 776.39

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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.