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Finding the Fourth Proportional to 834.83, 1,151.62 and 677.63

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Solution

The fourth proportional to 834.83, 1,151.62 and 677.63 is: 934.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.83 : 1,151.62 = 677.63 : x
  2. Step 2: Convert to fraction form
    834.83/1,151.62 = 677.63/x
  3. Step 3: Cross multiply
    834.83x = 1,151.62 × 677.63
  4. Step 4: Simplify right side
    834.83x = 780,368.87
  5. Step 5: Solve for x
    x = 780,368.87/834.83
  6. Step 6: Final answer
    x = 934.77

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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.