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Finding the Fourth Proportional to 1,296.65, 1,789.05 and 765.54

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Solution

The fourth proportional to 1,296.65, 1,789.05 and 765.54 is: 1,056.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.65 : 1,789.05 = 765.54 : x
  2. Step 2: Convert to fraction form
    1,296.65/1,789.05 = 765.54/x
  3. Step 3: Cross multiply
    1,296.65x = 1,789.05 × 765.54
  4. Step 4: Simplify right side
    1,296.65x = 1,369,589.34
  5. Step 5: Solve for x
    x = 1,369,589.34/1,296.65
  6. Step 6: Final answer
    x = 1,056.26

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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.