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Finding the Fourth Proportional to 1,006.72, 1,510.09 and 421.73

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Solution

The fourth proportional to 1,006.72, 1,510.09 and 421.73 is: 632.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.72 : 1,510.09 = 421.73 : x
  2. Step 2: Convert to fraction form
    1,006.72/1,510.09 = 421.73/x
  3. Step 3: Cross multiply
    1,006.72x = 1,510.09 × 421.73
  4. Step 4: Simplify right side
    1,006.72x = 636,853.93
  5. Step 5: Solve for x
    x = 636,853.93/1,006.72
  6. Step 6: Final answer
    x = 632.61

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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.