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Finding the Fourth Proportional to 919.63, 1,371.32 and 852.67

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Solution

The fourth proportional to 919.63, 1,371.32 and 852.67 is: 1,271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.63 : 1,371.32 = 852.67 : x
  2. Step 2: Convert to fraction form
    919.63/1,371.32 = 852.67/x
  3. Step 3: Cross multiply
    919.63x = 1,371.32 × 852.67
  4. Step 4: Simplify right side
    919.63x = 1,169,276.57
  5. Step 5: Solve for x
    x = 1,169,276.57/919.63
  6. Step 6: Final answer
    x = 1,271.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.