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Finding the Fourth Proportional to 912.07, 1,364.99 and 765.97

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Solution

The fourth proportional to 912.07, 1,364.99 and 765.97 is: 1,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.07 : 1,364.99 = 765.97 : x
  2. Step 2: Convert to fraction form
    912.07/1,364.99 = 765.97/x
  3. Step 3: Cross multiply
    912.07x = 1,364.99 × 765.97
  4. Step 4: Simplify right side
    912.07x = 1,045,530.74
  5. Step 5: Solve for x
    x = 1,045,530.74/912.07
  6. Step 6: Final answer
    x = 1,146.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.