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Finding the Fourth Proportional to 1,144.23, 1,578.20 and 790.26

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Solution

The fourth proportional to 1,144.23, 1,578.20 and 790.26 is: 1,089.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.23 : 1,578.20 = 790.26 : x
  2. Step 2: Convert to fraction form
    1,144.23/1,578.20 = 790.26/x
  3. Step 3: Cross multiply
    1,144.23x = 1,578.20 × 790.26
  4. Step 4: Simplify right side
    1,144.23x = 1,247,184.38
  5. Step 5: Solve for x
    x = 1,247,184.38/1,144.23
  6. Step 6: Final answer
    x = 1,089.98

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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.