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Finding the Fourth Proportional to 1,026.80, 1,416.12 and 765.44

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Solution

The fourth proportional to 1,026.80, 1,416.12 and 765.44 is: 1,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.80 : 1,416.12 = 765.44 : x
  2. Step 2: Convert to fraction form
    1,026.80/1,416.12 = 765.44/x
  3. Step 3: Cross multiply
    1,026.80x = 1,416.12 × 765.44
  4. Step 4: Simplify right side
    1,026.80x = 1,083,954.89
  5. Step 5: Solve for x
    x = 1,083,954.89/1,026.80
  6. Step 6: Final answer
    x = 1,055.66

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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.