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Finding the Fourth Proportional to 1,648.96, 2,473.44 and 494.71

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Solution

The fourth proportional to 1,648.96, 2,473.44 and 494.71 is: 742.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.96 : 2,473.44 = 494.71 : x
  2. Step 2: Convert to fraction form
    1,648.96/2,473.44 = 494.71/x
  3. Step 3: Cross multiply
    1,648.96x = 2,473.44 × 494.71
  4. Step 4: Simplify right side
    1,648.96x = 1,223,635.50
  5. Step 5: Solve for x
    x = 1,223,635.50/1,648.96
  6. Step 6: Final answer
    x = 742.07

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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.