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Finding the Fourth Proportional to 1,034.76, 1,544.73 and 998.76

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Solution

The fourth proportional to 1,034.76, 1,544.73 and 998.76 is: 1,490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.76 : 1,544.73 = 998.76 : x
  2. Step 2: Convert to fraction form
    1,034.76/1,544.73 = 998.76/x
  3. Step 3: Cross multiply
    1,034.76x = 1,544.73 × 998.76
  4. Step 4: Simplify right side
    1,034.76x = 1,542,814.53
  5. Step 5: Solve for x
    x = 1,542,814.53/1,034.76
  6. Step 6: Final answer
    x = 1,490.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.