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Finding the Fourth Proportional to 992.19, 1,367.94 and 770.75

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Solution

The fourth proportional to 992.19, 1,367.94 and 770.75 is: 1,062.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.19 : 1,367.94 = 770.75 : x
  2. Step 2: Convert to fraction form
    992.19/1,367.94 = 770.75/x
  3. Step 3: Cross multiply
    992.19x = 1,367.94 × 770.75
  4. Step 4: Simplify right side
    992.19x = 1,054,339.76
  5. Step 5: Solve for x
    x = 1,054,339.76/992.19
  6. Step 6: Final answer
    x = 1,062.64

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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.