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Finding the Fourth Proportional to 1,295.69, 1,788.26 and 764.59

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Solution

The fourth proportional to 1,295.69, 1,788.26 and 764.59 is: 1,055.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.69 : 1,788.26 = 764.59 : x
  2. Step 2: Convert to fraction form
    1,295.69/1,788.26 = 764.59/x
  3. Step 3: Cross multiply
    1,295.69x = 1,788.26 × 764.59
  4. Step 4: Simplify right side
    1,295.69x = 1,367,276.77
  5. Step 5: Solve for x
    x = 1,367,276.77/1,295.69
  6. Step 6: Final answer
    x = 1,055.25

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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.