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Finding the Fourth Proportional to 1,295.86, 1,788.34 and 765.11

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Solution

The fourth proportional to 1,295.86, 1,788.34 and 765.11 is: 1,055.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.86 : 1,788.34 = 765.11 : x
  2. Step 2: Convert to fraction form
    1,295.86/1,788.34 = 765.11/x
  3. Step 3: Cross multiply
    1,295.86x = 1,788.34 × 765.11
  4. Step 4: Simplify right side
    1,295.86x = 1,368,276.82
  5. Step 5: Solve for x
    x = 1,368,276.82/1,295.86
  6. Step 6: Final answer
    x = 1,055.88

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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.