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Finding the Fourth Proportional to 834.86, 1,151.94 and 480.75

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Solution

The fourth proportional to 834.86, 1,151.94 and 480.75 is: 663.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.86 : 1,151.94 = 480.75 : x
  2. Step 2: Convert to fraction form
    834.86/1,151.94 = 480.75/x
  3. Step 3: Cross multiply
    834.86x = 1,151.94 × 480.75
  4. Step 4: Simplify right side
    834.86x = 553,795.16
  5. Step 5: Solve for x
    x = 553,795.16/834.86
  6. Step 6: Final answer
    x = 663.34

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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.