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Finding the Fourth Proportional to 1,685.60, 2,527.92 and 711.50

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Solution

The fourth proportional to 1,685.60, 2,527.92 and 711.50 is: 1,067.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.60 : 2,527.92 = 711.50 : x
  2. Step 2: Convert to fraction form
    1,685.60/2,527.92 = 711.50/x
  3. Step 3: Cross multiply
    1,685.60x = 2,527.92 × 711.50
  4. Step 4: Simplify right side
    1,685.60x = 1,798,615.08
  5. Step 5: Solve for x
    x = 1,798,615.08/1,685.60
  6. Step 6: Final answer
    x = 1,067.05

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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.