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Finding the Fourth Proportional to 788.09, 1,182.10 and 325.75

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Solution

The fourth proportional to 788.09, 1,182.10 and 325.75 is: 488.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.09 : 1,182.10 = 325.75 : x
  2. Step 2: Convert to fraction form
    788.09/1,182.10 = 325.75/x
  3. Step 3: Cross multiply
    788.09x = 1,182.10 × 325.75
  4. Step 4: Simplify right side
    788.09x = 385,069.08
  5. Step 5: Solve for x
    x = 385,069.08/788.09
  6. Step 6: Final answer
    x = 488.61

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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.