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Finding the Fourth Proportional to 851.84, 1,268.08 and 812.08

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Solution

The fourth proportional to 851.84, 1,268.08 and 812.08 is: 1,208.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.84 : 1,268.08 = 812.08 : x
  2. Step 2: Convert to fraction form
    851.84/1,268.08 = 812.08/x
  3. Step 3: Cross multiply
    851.84x = 1,268.08 × 812.08
  4. Step 4: Simplify right side
    851.84x = 1,029,782.41
  5. Step 5: Solve for x
    x = 1,029,782.41/851.84
  6. Step 6: Final answer
    x = 1,208.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.