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Finding the Fourth Proportional to 1,780.62, 2,670.61 and 482.19

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Solution

The fourth proportional to 1,780.62, 2,670.61 and 482.19 is: 723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.62 : 2,670.61 = 482.19 : x
  2. Step 2: Convert to fraction form
    1,780.62/2,670.61 = 482.19/x
  3. Step 3: Cross multiply
    1,780.62x = 2,670.61 × 482.19
  4. Step 4: Simplify right side
    1,780.62x = 1,287,741.44
  5. Step 5: Solve for x
    x = 1,287,741.44/1,780.62
  6. Step 6: Final answer
    x = 723.20

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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.