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Finding the Fourth Proportional to 834.05, 1,151.10 and 693.92

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Solution

The fourth proportional to 834.05, 1,151.10 and 693.92 is: 957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.05 : 1,151.10 = 693.92 : x
  2. Step 2: Convert to fraction form
    834.05/1,151.10 = 693.92/x
  3. Step 3: Cross multiply
    834.05x = 1,151.10 × 693.92
  4. Step 4: Simplify right side
    834.05x = 798,774.19
  5. Step 5: Solve for x
    x = 798,774.19/834.05
  6. Step 6: Final answer
    x = 957.70

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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.