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Finding the Fourth Proportional to 1,027.66, 1,541.48 and 297.23

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Solution

The fourth proportional to 1,027.66, 1,541.48 and 297.23 is: 445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.66 : 1,541.48 = 297.23 : x
  2. Step 2: Convert to fraction form
    1,027.66/1,541.48 = 297.23/x
  3. Step 3: Cross multiply
    1,027.66x = 1,541.48 × 297.23
  4. Step 4: Simplify right side
    1,027.66x = 458,174.10
  5. Step 5: Solve for x
    x = 458,174.10/1,027.66
  6. Step 6: Final answer
    x = 445.84

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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.