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Finding the Fourth Proportional to 712.37, 1,069.41 and 694.71

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Solution

The fourth proportional to 712.37, 1,069.41 and 694.71 is: 1,042.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.37 : 1,069.41 = 694.71 : x
  2. Step 2: Convert to fraction form
    712.37/1,069.41 = 694.71/x
  3. Step 3: Cross multiply
    712.37x = 1,069.41 × 694.71
  4. Step 4: Simplify right side
    712.37x = 742,929.82
  5. Step 5: Solve for x
    x = 742,929.82/712.37
  6. Step 6: Final answer
    x = 1,042.91

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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.