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Finding the Fourth Proportional to 1,027.99, 1,541.71 and 297.37

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Solution

The fourth proportional to 1,027.99, 1,541.71 and 297.37 is: 445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.99 : 1,541.71 = 297.37 : x
  2. Step 2: Convert to fraction form
    1,027.99/1,541.71 = 297.37/x
  3. Step 3: Cross multiply
    1,027.99x = 1,541.71 × 297.37
  4. Step 4: Simplify right side
    1,027.99x = 458,458.30
  5. Step 5: Solve for x
    x = 458,458.30/1,027.99
  6. Step 6: Final answer
    x = 445.98

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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.