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Finding the Fourth Proportional to 1,286.84, 1,775.58 and 821

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Solution

The fourth proportional to 1,286.84, 1,775.58 and 821 is: 1,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.84 : 1,775.58 = 821 : x
  2. Step 2: Convert to fraction form
    1,286.84/1,775.58 = 821/x
  3. Step 3: Cross multiply
    1,286.84x = 1,775.58 × 821
  4. Step 4: Simplify right side
    1,286.84x = 1,457,751.18
  5. Step 5: Solve for x
    x = 1,457,751.18/1,286.84
  6. Step 6: Final answer
    x = 1,132.81

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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.