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Finding the Fourth Proportional to 1,698.68, 2,548.02 and 466.22

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Solution

The fourth proportional to 1,698.68, 2,548.02 and 466.22 is: 699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.68 : 2,548.02 = 466.22 : x
  2. Step 2: Convert to fraction form
    1,698.68/2,548.02 = 466.22/x
  3. Step 3: Cross multiply
    1,698.68x = 2,548.02 × 466.22
  4. Step 4: Simplify right side
    1,698.68x = 1,187,925.14
  5. Step 5: Solve for x
    x = 1,187,925.14/1,698.68
  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.