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Finding the Fourth Proportional to 1,685.18, 2,527.65 and 711.19

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Solution

The fourth proportional to 1,685.18, 2,527.65 and 711.19 is: 1,066.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.18 : 2,527.65 = 711.19 : x
  2. Step 2: Convert to fraction form
    1,685.18/2,527.65 = 711.19/x
  3. Step 3: Cross multiply
    1,685.18x = 2,527.65 × 711.19
  4. Step 4: Simplify right side
    1,685.18x = 1,797,633.08
  5. Step 5: Solve for x
    x = 1,797,633.08/1,685.18
  6. Step 6: Final answer
    x = 1,066.73

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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.