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Finding the Fourth Proportional to 672.50, 1,008.29 and 477.49

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Solution

The fourth proportional to 672.50, 1,008.29 and 477.49 is: 715.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.50 : 1,008.29 = 477.49 : x
  2. Step 2: Convert to fraction form
    672.50/1,008.29 = 477.49/x
  3. Step 3: Cross multiply
    672.50x = 1,008.29 × 477.49
  4. Step 4: Simplify right side
    672.50x = 481,448.39
  5. Step 5: Solve for x
    x = 481,448.39/672.50
  6. Step 6: Final answer
    x = 715.91

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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.