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Finding the Fourth Proportional to 834.69, 1,252.53 and 372.51

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Solution

The fourth proportional to 834.69, 1,252.53 and 372.51 is: 558.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.69 : 1,252.53 = 372.51 : x
  2. Step 2: Convert to fraction form
    834.69/1,252.53 = 372.51/x
  3. Step 3: Cross multiply
    834.69x = 1,252.53 × 372.51
  4. Step 4: Simplify right side
    834.69x = 466,579.95
  5. Step 5: Solve for x
    x = 466,579.95/834.69
  6. Step 6: Final answer
    x = 558.99

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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.