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Finding the Fourth Proportional to 1,284.07, 1,772.01 and 694.61

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Solution

The fourth proportional to 1,284.07, 1,772.01 and 694.61 is: 958.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.07 : 1,772.01 = 694.61 : x
  2. Step 2: Convert to fraction form
    1,284.07/1,772.01 = 694.61/x
  3. Step 3: Cross multiply
    1,284.07x = 1,772.01 × 694.61
  4. Step 4: Simplify right side
    1,284.07x = 1,230,860.30
  5. Step 5: Solve for x
    x = 1,230,860.30/1,284.07
  6. Step 6: Final answer
    x = 958.56

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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.