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Finding the Fourth Proportional to 1,118.62, 1,676.31 and 493.16

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Solution

The fourth proportional to 1,118.62, 1,676.31 and 493.16 is: 739.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.62 : 1,676.31 = 493.16 : x
  2. Step 2: Convert to fraction form
    1,118.62/1,676.31 = 493.16/x
  3. Step 3: Cross multiply
    1,118.62x = 1,676.31 × 493.16
  4. Step 4: Simplify right side
    1,118.62x = 826,689.04
  5. Step 5: Solve for x
    x = 826,689.04/1,118.62
  6. Step 6: Final answer
    x = 739.03

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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.