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Finding the Fourth Proportional to 1,028.86, 1,542.99 and 404.05

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Solution

The fourth proportional to 1,028.86, 1,542.99 and 404.05 is: 605.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.86 : 1,542.99 = 404.05 : x
  2. Step 2: Convert to fraction form
    1,028.86/1,542.99 = 404.05/x
  3. Step 3: Cross multiply
    1,028.86x = 1,542.99 × 404.05
  4. Step 4: Simplify right side
    1,028.86x = 623,445.11
  5. Step 5: Solve for x
    x = 623,445.11/1,028.86
  6. Step 6: Final answer
    x = 605.96

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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.