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Finding the Fourth Proportional to 1,027.08, 1,539.36 and 377.10

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Solution

The fourth proportional to 1,027.08, 1,539.36 and 377.10 is: 565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.08 : 1,539.36 = 377.10 : x
  2. Step 2: Convert to fraction form
    1,027.08/1,539.36 = 377.10/x
  3. Step 3: Cross multiply
    1,027.08x = 1,539.36 × 377.10
  4. Step 4: Simplify right side
    1,027.08x = 580,492.66
  5. Step 5: Solve for x
    x = 580,492.66/1,027.08
  6. Step 6: Final answer
    x = 565.19

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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.