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Finding the Fourth Proportional to 1,699.73, 2,548.53 and 968.30

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Solution

The fourth proportional to 1,699.73, 2,548.53 and 968.30 is: 1,451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.73 : 2,548.53 = 968.30 : x
  2. Step 2: Convert to fraction form
    1,699.73/2,548.53 = 968.30/x
  3. Step 3: Cross multiply
    1,699.73x = 2,548.53 × 968.30
  4. Step 4: Simplify right side
    1,699.73x = 2,467,728.86
  5. Step 5: Solve for x
    x = 2,467,728.86/1,699.73
  6. Step 6: Final answer
    x = 1,451.84

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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.