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Finding the Fourth Proportional to 675.94, 1,014.75 and 444.11

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Solution

The fourth proportional to 675.94, 1,014.75 and 444.11 is: 666.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.94 : 1,014.75 = 444.11 : x
  2. Step 2: Convert to fraction form
    675.94/1,014.75 = 444.11/x
  3. Step 3: Cross multiply
    675.94x = 1,014.75 × 444.11
  4. Step 4: Simplify right side
    675.94x = 450,655.55
  5. Step 5: Solve for x
    x = 450,655.55/675.94
  6. Step 6: Final answer
    x = 666.71

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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.