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Finding the Fourth Proportional to 1,144.59, 1,713.97 and 778.26

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Solution

The fourth proportional to 1,144.59, 1,713.97 and 778.26 is: 1,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.59 : 1,713.97 = 778.26 : x
  2. Step 2: Convert to fraction form
    1,144.59/1,713.97 = 778.26/x
  3. Step 3: Cross multiply
    1,144.59x = 1,713.97 × 778.26
  4. Step 4: Simplify right side
    1,144.59x = 1,333,914.29
  5. Step 5: Solve for x
    x = 1,333,914.29/1,144.59
  6. Step 6: Final answer
    x = 1,165.41

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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.