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Finding the Fourth Proportional to 1,026.99, 1,541.16 and 377.73

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Solution

The fourth proportional to 1,026.99, 1,541.16 and 377.73 is: 566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.99 : 1,541.16 = 377.73 : x
  2. Step 2: Convert to fraction form
    1,026.99/1,541.16 = 377.73/x
  3. Step 3: Cross multiply
    1,026.99x = 1,541.16 × 377.73
  4. Step 4: Simplify right side
    1,026.99x = 582,142.37
  5. Step 5: Solve for x
    x = 582,142.37/1,026.99
  6. Step 6: Final answer
    x = 566.84

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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.