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Finding the Fourth Proportional to 1,684.96, 2,527.78 and 711.06

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Solution

The fourth proportional to 1,684.96, 2,527.78 and 711.06 is: 1,066.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.96 : 2,527.78 = 711.06 : x
  2. Step 2: Convert to fraction form
    1,684.96/2,527.78 = 711.06/x
  3. Step 3: Cross multiply
    1,684.96x = 2,527.78 × 711.06
  4. Step 4: Simplify right side
    1,684.96x = 1,797,403.25
  5. Step 5: Solve for x
    x = 1,797,403.25/1,684.96
  6. Step 6: Final answer
    x = 1,066.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.