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Finding the Fourth Proportional to 1,028.21, 1,542.47 and 370.04

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Solution

The fourth proportional to 1,028.21, 1,542.47 and 370.04 is: 555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.21 : 1,542.47 = 370.04 : x
  2. Step 2: Convert to fraction form
    1,028.21/1,542.47 = 370.04/x
  3. Step 3: Cross multiply
    1,028.21x = 1,542.47 × 370.04
  4. Step 4: Simplify right side
    1,028.21x = 570,775.60
  5. Step 5: Solve for x
    x = 570,775.60/1,028.21
  6. Step 6: Final answer
    x = 555.12

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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.