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Finding the Fourth Proportional to 675.30, 898.73 and 675.30

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Solution

The fourth proportional to 675.30, 898.73 and 675.30 is: 898.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.30 : 898.73 = 675.30 : x
  2. Step 2: Convert to fraction form
    675.30/898.73 = 675.30/x
  3. Step 3: Cross multiply
    675.30x = 898.73 × 675.30
  4. Step 4: Simplify right side
    675.30x = 606,912.37
  5. Step 5: Solve for x
    x = 606,912.37/675.30
  6. Step 6: Final answer
    x = 898.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.