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Finding the Fourth Proportional to 1,130.23, 1,694.89 and 765.12

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Solution

The fourth proportional to 1,130.23, 1,694.89 and 765.12 is: 1,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.23 : 1,694.89 = 765.12 : x
  2. Step 2: Convert to fraction form
    1,130.23/1,694.89 = 765.12/x
  3. Step 3: Cross multiply
    1,130.23x = 1,694.89 × 765.12
  4. Step 4: Simplify right side
    1,130.23x = 1,296,794.24
  5. Step 5: Solve for x
    x = 1,296,794.24/1,130.23
  6. Step 6: Final answer
    x = 1,147.37

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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.