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Finding the Fourth Proportional to 1,648.66, 2,472.99 and 494.41

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Solution

The fourth proportional to 1,648.66, 2,472.99 and 494.41 is: 741.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.66 : 2,472.99 = 494.41 : x
  2. Step 2: Convert to fraction form
    1,648.66/2,472.99 = 494.41/x
  3. Step 3: Cross multiply
    1,648.66x = 2,472.99 × 494.41
  4. Step 4: Simplify right side
    1,648.66x = 1,222,670.99
  5. Step 5: Solve for x
    x = 1,222,670.99/1,648.66
  6. Step 6: Final answer
    x = 741.62

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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.