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Finding the Fourth Proportional to 1,527.18, 2,290.96 and 539.80

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Solution

The fourth proportional to 1,527.18, 2,290.96 and 539.80 is: 809.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.18 : 2,290.96 = 539.80 : x
  2. Step 2: Convert to fraction form
    1,527.18/2,290.96 = 539.80/x
  3. Step 3: Cross multiply
    1,527.18x = 2,290.96 × 539.80
  4. Step 4: Simplify right side
    1,527.18x = 1,236,648.75
  5. Step 5: Solve for x
    x = 1,236,648.75/1,527.18
  6. Step 6: Final answer
    x = 809.76

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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.