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Finding the Fourth Proportional to 788.07, 1,182.10 and 355.22

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Solution

The fourth proportional to 788.07, 1,182.10 and 355.22 is: 532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.07 : 1,182.10 = 355.22 : x
  2. Step 2: Convert to fraction form
    788.07/1,182.10 = 355.22/x
  3. Step 3: Cross multiply
    788.07x = 1,182.10 × 355.22
  4. Step 4: Simplify right side
    788.07x = 419,905.56
  5. Step 5: Solve for x
    x = 419,905.56/788.07
  6. Step 6: Final answer
    x = 532.83

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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.