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Finding the Fourth Proportional to 1,493.12, 2,239.44 and 467.12

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Solution

The fourth proportional to 1,493.12, 2,239.44 and 467.12 is: 700.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.12 : 2,239.44 = 467.12 : x
  2. Step 2: Convert to fraction form
    1,493.12/2,239.44 = 467.12/x
  3. Step 3: Cross multiply
    1,493.12x = 2,239.44 × 467.12
  4. Step 4: Simplify right side
    1,493.12x = 1,046,087.21
  5. Step 5: Solve for x
    x = 1,046,087.21/1,493.12
  6. Step 6: Final answer
    x = 700.60

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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.