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Finding the Fourth Proportional to 1,731.82, 2,597.73 and 562.80

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Solution

The fourth proportional to 1,731.82, 2,597.73 and 562.80 is: 844.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.82 : 2,597.73 = 562.80 : x
  2. Step 2: Convert to fraction form
    1,731.82/2,597.73 = 562.80/x
  3. Step 3: Cross multiply
    1,731.82x = 2,597.73 × 562.80
  4. Step 4: Simplify right side
    1,731.82x = 1,462,002.44
  5. Step 5: Solve for x
    x = 1,462,002.44/1,731.82
  6. Step 6: Final answer
    x = 844.20

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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.