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Finding the Fourth Proportional to 834.20, 1,150.75 and 677.01

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Solution

The fourth proportional to 834.20, 1,150.75 and 677.01 is: 933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.20 : 1,150.75 = 677.01 : x
  2. Step 2: Convert to fraction form
    834.20/1,150.75 = 677.01/x
  3. Step 3: Cross multiply
    834.20x = 1,150.75 × 677.01
  4. Step 4: Simplify right side
    834.20x = 779,069.26
  5. Step 5: Solve for x
    x = 779,069.26/834.20
  6. Step 6: Final answer
    x = 933.91

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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.