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Finding the Fourth Proportional to 1,027.04, 1,539.60 and 377.60

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Solution

The fourth proportional to 1,027.04, 1,539.60 and 377.60 is: 566.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.04 : 1,539.60 = 377.60 : x
  2. Step 2: Convert to fraction form
    1,027.04/1,539.60 = 377.60/x
  3. Step 3: Cross multiply
    1,027.04x = 1,539.60 × 377.60
  4. Step 4: Simplify right side
    1,027.04x = 581,352.96
  5. Step 5: Solve for x
    x = 581,352.96/1,027.04
  6. Step 6: Final answer
    x = 566.05

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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.