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Finding the Fourth Proportional to 1,028.55, 1,420.08 and 792.06

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Solution

The fourth proportional to 1,028.55, 1,420.08 and 792.06 is: 1,093.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.55 : 1,420.08 = 792.06 : x
  2. Step 2: Convert to fraction form
    1,028.55/1,420.08 = 792.06/x
  3. Step 3: Cross multiply
    1,028.55x = 1,420.08 × 792.06
  4. Step 4: Simplify right side
    1,028.55x = 1,124,780.27
  5. Step 5: Solve for x
    x = 1,124,780.27/1,028.55
  6. Step 6: Final answer
    x = 1,093.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.