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Finding the Fourth Proportional to 1,686.34, 2,528.09 and 712.32

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Solution

The fourth proportional to 1,686.34, 2,528.09 and 712.32 is: 1,067.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.34 : 2,528.09 = 712.32 : x
  2. Step 2: Convert to fraction form
    1,686.34/2,528.09 = 712.32/x
  3. Step 3: Cross multiply
    1,686.34x = 2,528.09 × 712.32
  4. Step 4: Simplify right side
    1,686.34x = 1,800,809.07
  5. Step 5: Solve for x
    x = 1,800,809.07/1,686.34
  6. Step 6: Final answer
    x = 1,067.88

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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.