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Finding the Fourth Proportional to 1,657.89, 2,288.31 and 959.67

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Solution

The fourth proportional to 1,657.89, 2,288.31 and 959.67 is: 1,324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.89 : 2,288.31 = 959.67 : x
  2. Step 2: Convert to fraction form
    1,657.89/2,288.31 = 959.67/x
  3. Step 3: Cross multiply
    1,657.89x = 2,288.31 × 959.67
  4. Step 4: Simplify right side
    1,657.89x = 2,196,022.46
  5. Step 5: Solve for x
    x = 2,196,022.46/1,657.89
  6. Step 6: Final answer
    x = 1,324.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.