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Finding the Fourth Proportional to 1,006.29, 1,508.77 and 485.26

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Solution

The fourth proportional to 1,006.29, 1,508.77 and 485.26 is: 727.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.29 : 1,508.77 = 485.26 : x
  2. Step 2: Convert to fraction form
    1,006.29/1,508.77 = 485.26/x
  3. Step 3: Cross multiply
    1,006.29x = 1,508.77 × 485.26
  4. Step 4: Simplify right side
    1,006.29x = 732,142.56
  5. Step 5: Solve for x
    x = 732,142.56/1,006.29
  6. Step 6: Final answer
    x = 727.57

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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.