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Finding the Fourth Proportional to 1,699.43, 2,548.77 and 466.71

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Solution

The fourth proportional to 1,699.43, 2,548.77 and 466.71 is: 699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.43 : 2,548.77 = 466.71 : x
  2. Step 2: Convert to fraction form
    1,699.43/2,548.77 = 466.71/x
  3. Step 3: Cross multiply
    1,699.43x = 2,548.77 × 466.71
  4. Step 4: Simplify right side
    1,699.43x = 1,189,543.41
  5. Step 5: Solve for x
    x = 1,189,543.41/1,699.43
  6. Step 6: Final answer
    x = 699.97

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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.