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Finding the Fourth Proportional to 1,698.71, 2,548.13 and 466.20

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Solution

The fourth proportional to 1,698.71, 2,548.13 and 466.20 is: 699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.71 : 2,548.13 = 466.20 : x
  2. Step 2: Convert to fraction form
    1,698.71/2,548.13 = 466.20/x
  3. Step 3: Cross multiply
    1,698.71x = 2,548.13 × 466.20
  4. Step 4: Simplify right side
    1,698.71x = 1,187,935.88
  5. Step 5: Solve for x
    x = 1,187,935.88/1,698.71
  6. Step 6: Final answer
    x = 699.32

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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.