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Finding the Fourth Proportional to 1,306.80, 1,961.64 and 657.36

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Solution

The fourth proportional to 1,306.80, 1,961.64 and 657.36 is: 986.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.80 : 1,961.64 = 657.36 : x
  2. Step 2: Convert to fraction form
    1,306.80/1,961.64 = 657.36/x
  3. Step 3: Cross multiply
    1,306.80x = 1,961.64 × 657.36
  4. Step 4: Simplify right side
    1,306.80x = 1,289,503.67
  5. Step 5: Solve for x
    x = 1,289,503.67/1,306.80
  6. Step 6: Final answer
    x = 986.76

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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.