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Finding the Fourth Proportional to 1,284.06, 1,772 and 694.60

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Solution

The fourth proportional to 1,284.06, 1,772 and 694.60 is: 958.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.06 : 1,772 = 694.60 : x
  2. Step 2: Convert to fraction form
    1,284.06/1,772 = 694.60/x
  3. Step 3: Cross multiply
    1,284.06x = 1,772 × 694.60
  4. Step 4: Simplify right side
    1,284.06x = 1,230,822.34
  5. Step 5: Solve for x
    x = 1,230,822.34/1,284.06
  6. Step 6: Final answer
    x = 958.54

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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.