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Finding the Fourth Proportional to 1,118.44, 1,676.40 and 501.22

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Solution

The fourth proportional to 1,118.44, 1,676.40 and 501.22 is: 751.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.44 : 1,676.40 = 501.22 : x
  2. Step 2: Convert to fraction form
    1,118.44/1,676.40 = 501.22/x
  3. Step 3: Cross multiply
    1,118.44x = 1,676.40 × 501.22
  4. Step 4: Simplify right side
    1,118.44x = 840,245.21
  5. Step 5: Solve for x
    x = 840,245.21/1,118.44
  6. Step 6: Final answer
    x = 751.27

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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.