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Finding the Fourth Proportional to 834.09, 1,151.04 and 456

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Solution

The fourth proportional to 834.09, 1,151.04 and 456 is: 629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.09 : 1,151.04 = 456 : x
  2. Step 2: Convert to fraction form
    834.09/1,151.04 = 456/x
  3. Step 3: Cross multiply
    834.09x = 1,151.04 × 456
  4. Step 4: Simplify right side
    834.09x = 524,874.24
  5. Step 5: Solve for x
    x = 524,874.24/834.09
  6. Step 6: Final answer
    x = 629.28

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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.