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Finding the Fourth Proportional to 1,027.93, 1,541.90 and 297.51

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Solution

The fourth proportional to 1,027.93, 1,541.90 and 297.51 is: 446.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.93 : 1,541.90 = 297.51 : x
  2. Step 2: Convert to fraction form
    1,027.93/1,541.90 = 297.51/x
  3. Step 3: Cross multiply
    1,027.93x = 1,541.90 × 297.51
  4. Step 4: Simplify right side
    1,027.93x = 458,723.40
  5. Step 5: Solve for x
    x = 458,723.40/1,027.93
  6. Step 6: Final answer
    x = 446.26

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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.