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Finding the Fourth Proportional to 1,699.21, 2,548.86 and 466.75

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Solution

The fourth proportional to 1,699.21, 2,548.86 and 466.75 is: 700.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.21 : 2,548.86 = 466.75 : x
  2. Step 2: Convert to fraction form
    1,699.21/2,548.86 = 466.75/x
  3. Step 3: Cross multiply
    1,699.21x = 2,548.86 × 466.75
  4. Step 4: Simplify right side
    1,699.21x = 1,189,680.41
  5. Step 5: Solve for x
    x = 1,189,680.41/1,699.21
  6. Step 6: Final answer
    x = 700.14

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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.