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Finding the Fourth Proportional to 1,118.23, 1,676.61 and 501.09

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Solution

The fourth proportional to 1,118.23, 1,676.61 and 501.09 is: 751.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.23 : 1,676.61 = 501.09 : x
  2. Step 2: Convert to fraction form
    1,118.23/1,676.61 = 501.09/x
  3. Step 3: Cross multiply
    1,118.23x = 1,676.61 × 501.09
  4. Step 4: Simplify right side
    1,118.23x = 840,132.50
  5. Step 5: Solve for x
    x = 840,132.50/1,118.23
  6. Step 6: Final answer
    x = 751.31

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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.