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Finding the Fourth Proportional to 689.36, 1,036.06 and 682.06

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Solution

The fourth proportional to 689.36, 1,036.06 and 682.06 is: 1,025.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.36 : 1,036.06 = 682.06 : x
  2. Step 2: Convert to fraction form
    689.36/1,036.06 = 682.06/x
  3. Step 3: Cross multiply
    689.36x = 1,036.06 × 682.06
  4. Step 4: Simplify right side
    689.36x = 706,655.08
  5. Step 5: Solve for x
    x = 706,655.08/689.36
  6. Step 6: Final answer
    x = 1,025.09

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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.