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Finding the Fourth Proportional to 1,162.78, 1,744.15 and 297.08

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Solution

The fourth proportional to 1,162.78, 1,744.15 and 297.08 is: 445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.78 : 1,744.15 = 297.08 : x
  2. Step 2: Convert to fraction form
    1,162.78/1,744.15 = 297.08/x
  3. Step 3: Cross multiply
    1,162.78x = 1,744.15 × 297.08
  4. Step 4: Simplify right side
    1,162.78x = 518,152.08
  5. Step 5: Solve for x
    x = 518,152.08/1,162.78
  6. Step 6: Final answer
    x = 445.61

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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.