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Finding the Fourth Proportional to 1,648.63, 2,472.94 and 494.38

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Solution

The fourth proportional to 1,648.63, 2,472.94 and 494.38 is: 741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.63 : 2,472.94 = 494.38 : x
  2. Step 2: Convert to fraction form
    1,648.63/2,472.94 = 494.38/x
  3. Step 3: Cross multiply
    1,648.63x = 2,472.94 × 494.38
  4. Step 4: Simplify right side
    1,648.63x = 1,222,559.71
  5. Step 5: Solve for x
    x = 1,222,559.71/1,648.63
  6. Step 6: Final answer
    x = 741.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.