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Finding the Fourth Proportional to 948.29, 1,423.94 and 825.57

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Solution

The fourth proportional to 948.29, 1,423.94 and 825.57 is: 1,239.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.29 : 1,423.94 = 825.57 : x
  2. Step 2: Convert to fraction form
    948.29/1,423.94 = 825.57/x
  3. Step 3: Cross multiply
    948.29x = 1,423.94 × 825.57
  4. Step 4: Simplify right side
    948.29x = 1,175,558.02
  5. Step 5: Solve for x
    x = 1,175,558.02/948.29
  6. Step 6: Final answer
    x = 1,239.67

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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.