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Finding the Fourth Proportional to 672.30, 1,006.44 and 411.48

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Solution

The fourth proportional to 672.30, 1,006.44 and 411.48 is: 615.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.30 : 1,006.44 = 411.48 : x
  2. Step 2: Convert to fraction form
    672.30/1,006.44 = 411.48/x
  3. Step 3: Cross multiply
    672.30x = 1,006.44 × 411.48
  4. Step 4: Simplify right side
    672.30x = 414,129.93
  5. Step 5: Solve for x
    x = 414,129.93/672.30
  6. Step 6: Final answer
    x = 615.99

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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.