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Finding the Fourth Proportional to 812.30, 1,113.68 and 774.05

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Solution

The fourth proportional to 812.30, 1,113.68 and 774.05 is: 1,061.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.30 : 1,113.68 = 774.05 : x
  2. Step 2: Convert to fraction form
    812.30/1,113.68 = 774.05/x
  3. Step 3: Cross multiply
    812.30x = 1,113.68 × 774.05
  4. Step 4: Simplify right side
    812.30x = 862,040.37
  5. Step 5: Solve for x
    x = 862,040.37/812.30
  6. Step 6: Final answer
    x = 1,061.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.