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Finding the Fourth Proportional to 788.19, 1,182.69 and 441.30

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Solution

The fourth proportional to 788.19, 1,182.69 and 441.30 is: 662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.19 : 1,182.69 = 441.30 : x
  2. Step 2: Convert to fraction form
    788.19/1,182.69 = 441.30/x
  3. Step 3: Cross multiply
    788.19x = 1,182.69 × 441.30
  4. Step 4: Simplify right side
    788.19x = 521,921.10
  5. Step 5: Solve for x
    x = 521,921.10/788.19
  6. Step 6: Final answer
    x = 662.18

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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.