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Finding the Fourth Proportional to 1,539.06, 2,308.72 and 428.55

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Solution

The fourth proportional to 1,539.06, 2,308.72 and 428.55 is: 642.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.06 : 2,308.72 = 428.55 : x
  2. Step 2: Convert to fraction form
    1,539.06/2,308.72 = 428.55/x
  3. Step 3: Cross multiply
    1,539.06x = 2,308.72 × 428.55
  4. Step 4: Simplify right side
    1,539.06x = 989,401.96
  5. Step 5: Solve for x
    x = 989,401.96/1,539.06
  6. Step 6: Final answer
    x = 642.86

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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.