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Finding the Fourth Proportional to 1,494.75, 2,062.76 and 1,029.81

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Solution

The fourth proportional to 1,494.75, 2,062.76 and 1,029.81 is: 1,421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.75 : 2,062.76 = 1,029.81 : x
  2. Step 2: Convert to fraction form
    1,494.75/2,062.76 = 1,029.81/x
  3. Step 3: Cross multiply
    1,494.75x = 2,062.76 × 1,029.81
  4. Step 4: Simplify right side
    1,494.75x = 2,124,245.73
  5. Step 5: Solve for x
    x = 2,124,245.73/1,494.75
  6. Step 6: Final answer
    x = 1,421.14

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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.