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Finding the Fourth Proportional to 1,496.75, 2,064.51 and 999.41

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Solution

The fourth proportional to 1,496.75, 2,064.51 and 999.41 is: 1,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.75 : 2,064.51 = 999.41 : x
  2. Step 2: Convert to fraction form
    1,496.75/2,064.51 = 999.41/x
  3. Step 3: Cross multiply
    1,496.75x = 2,064.51 × 999.41
  4. Step 4: Simplify right side
    1,496.75x = 2,063,291.94
  5. Step 5: Solve for x
    x = 2,063,291.94/1,496.75
  6. Step 6: Final answer
    x = 1,378.51

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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.