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Finding the Fourth Proportional to 920.57, 1,271.19 and 626.54

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Solution

The fourth proportional to 920.57, 1,271.19 and 626.54 is: 865.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.57 : 1,271.19 = 626.54 : x
  2. Step 2: Convert to fraction form
    920.57/1,271.19 = 626.54/x
  3. Step 3: Cross multiply
    920.57x = 1,271.19 × 626.54
  4. Step 4: Simplify right side
    920.57x = 796,447.38
  5. Step 5: Solve for x
    x = 796,447.38/920.57
  6. Step 6: Final answer
    x = 865.17

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Why These Related Problems?

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