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Finding the Fourth Proportional to 1,062.67, 1,466.49 and 620.49

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Solution

The fourth proportional to 1,062.67, 1,466.49 and 620.49 is: 856.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.67 : 1,466.49 = 620.49 : x
  2. Step 2: Convert to fraction form
    1,062.67/1,466.49 = 620.49/x
  3. Step 3: Cross multiply
    1,062.67x = 1,466.49 × 620.49
  4. Step 4: Simplify right side
    1,062.67x = 909,942.38
  5. Step 5: Solve for x
    x = 909,942.38/1,062.67
  6. Step 6: Final answer
    x = 856.28

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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.