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Finding the Fourth Proportional to 825.16, 1,236.14 and 391.72

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Solution

The fourth proportional to 825.16, 1,236.14 and 391.72 is: 586.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.16 : 1,236.14 = 391.72 : x
  2. Step 2: Convert to fraction form
    825.16/1,236.14 = 391.72/x
  3. Step 3: Cross multiply
    825.16x = 1,236.14 × 391.72
  4. Step 4: Simplify right side
    825.16x = 484,220.76
  5. Step 5: Solve for x
    x = 484,220.76/825.16
  6. Step 6: Final answer
    x = 586.82

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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.