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Finding the Fourth Proportional to 930.56, 1,399.68 and 842.24

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Solution

The fourth proportional to 930.56, 1,399.68 and 842.24 is: 1,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.56 : 1,399.68 = 842.24 : x
  2. Step 2: Convert to fraction form
    930.56/1,399.68 = 842.24/x
  3. Step 3: Cross multiply
    930.56x = 1,399.68 × 842.24
  4. Step 4: Simplify right side
    930.56x = 1,178,866.48
  5. Step 5: Solve for x
    x = 1,178,866.48/930.56
  6. Step 6: Final answer
    x = 1,266.84

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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.