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Finding the Fourth Proportional to 675.61, 1,014.80 and 444.83

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Solution

The fourth proportional to 675.61, 1,014.80 and 444.83 is: 668.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.61 : 1,014.80 = 444.83 : x
  2. Step 2: Convert to fraction form
    675.61/1,014.80 = 444.83/x
  3. Step 3: Cross multiply
    675.61x = 1,014.80 × 444.83
  4. Step 4: Simplify right side
    675.61x = 451,406.19
  5. Step 5: Solve for x
    x = 451,406.19/675.61
  6. Step 6: Final answer
    x = 668.15

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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.