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Finding the Fourth Proportional to 920.45, 1,264.17 and 852.81

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Solution

The fourth proportional to 920.45, 1,264.17 and 852.81 is: 1,171.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.45 : 1,264.17 = 852.81 : x
  2. Step 2: Convert to fraction form
    920.45/1,264.17 = 852.81/x
  3. Step 3: Cross multiply
    920.45x = 1,264.17 × 852.81
  4. Step 4: Simplify right side
    920.45x = 1,078,096.82
  5. Step 5: Solve for x
    x = 1,078,096.82/920.45
  6. Step 6: Final answer
    x = 1,171.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.