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Finding the Fourth Proportional to 895, 1,233.75 and 769.99

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Solution

The fourth proportional to 895, 1,233.75 and 769.99 is: 1,061.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    895 : 1,233.75 = 769.99 : x
  2. Step 2: Convert to fraction form
    895/1,233.75 = 769.99/x
  3. Step 3: Cross multiply
    895x = 1,233.75 × 769.99
  4. Step 4: Simplify right side
    895x = 949,975.16
  5. Step 5: Solve for x
    x = 949,975.16/895
  6. Step 6: Final answer
    x = 1,061.42

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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.