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Finding the Fourth Proportional to 1,162.82, 1,744.32 and 297.13

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Solution

The fourth proportional to 1,162.82, 1,744.32 and 297.13 is: 445.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.82 : 1,744.32 = 297.13 : x
  2. Step 2: Convert to fraction form
    1,162.82/1,744.32 = 297.13/x
  3. Step 3: Cross multiply
    1,162.82x = 1,744.32 × 297.13
  4. Step 4: Simplify right side
    1,162.82x = 518,289.80
  5. Step 5: Solve for x
    x = 518,289.80/1,162.82
  6. Step 6: Final answer
    x = 445.72

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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.