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Finding the Fourth Proportional to 672.91, 1,009.23 and 428.71

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Solution

The fourth proportional to 672.91, 1,009.23 and 428.71 is: 642.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.91 : 1,009.23 = 428.71 : x
  2. Step 2: Convert to fraction form
    672.91/1,009.23 = 428.71/x
  3. Step 3: Cross multiply
    672.91x = 1,009.23 × 428.71
  4. Step 4: Simplify right side
    672.91x = 432,666.99
  5. Step 5: Solve for x
    x = 432,666.99/672.91
  6. Step 6: Final answer
    x = 642.98

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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.