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Finding the Fourth Proportional to 834.74, 1,152.29 and 520.16

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Solution

The fourth proportional to 834.74, 1,152.29 and 520.16 is: 718.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.74 : 1,152.29 = 520.16 : x
  2. Step 2: Convert to fraction form
    834.74/1,152.29 = 520.16/x
  3. Step 3: Cross multiply
    834.74x = 1,152.29 × 520.16
  4. Step 4: Simplify right side
    834.74x = 599,370.78
  5. Step 5: Solve for x
    x = 599,370.78/834.74
  6. Step 6: Final answer
    x = 718.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.