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Finding the Fourth Proportional to 874.36, 1,311.54 and 830.56

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Solution

The fourth proportional to 874.36, 1,311.54 and 830.56 is: 1,245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.36 : 1,311.54 = 830.56 : x
  2. Step 2: Convert to fraction form
    874.36/1,311.54 = 830.56/x
  3. Step 3: Cross multiply
    874.36x = 1,311.54 × 830.56
  4. Step 4: Simplify right side
    874.36x = 1,089,308.51
  5. Step 5: Solve for x
    x = 1,089,308.51/874.36
  6. Step 6: Final answer
    x = 1,245.84

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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.