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Finding the Fourth Proportional to 1,027.76, 1,541.66 and 403.03

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Solution

The fourth proportional to 1,027.76, 1,541.66 and 403.03 is: 604.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.76 : 1,541.66 = 403.03 : x
  2. Step 2: Convert to fraction form
    1,027.76/1,541.66 = 403.03/x
  3. Step 3: Cross multiply
    1,027.76x = 1,541.66 × 403.03
  4. Step 4: Simplify right side
    1,027.76x = 621,327.52
  5. Step 5: Solve for x
    x = 621,327.52/1,027.76
  6. Step 6: Final answer
    x = 604.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.