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Finding the Fourth Proportional to 834.13, 1,250.01 and 464.23

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Solution

The fourth proportional to 834.13, 1,250.01 and 464.23 is: 695.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.13 : 1,250.01 = 464.23 : x
  2. Step 2: Convert to fraction form
    834.13/1,250.01 = 464.23/x
  3. Step 3: Cross multiply
    834.13x = 1,250.01 × 464.23
  4. Step 4: Simplify right side
    834.13x = 580,292.14
  5. Step 5: Solve for x
    x = 580,292.14/834.13
  6. Step 6: Final answer
    x = 695.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.