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Finding the Fourth Proportional to 817.86, 1,129.17 and 730.38

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Solution

The fourth proportional to 817.86, 1,129.17 and 730.38 is: 1,008.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.86 : 1,129.17 = 730.38 : x
  2. Step 2: Convert to fraction form
    817.86/1,129.17 = 730.38/x
  3. Step 3: Cross multiply
    817.86x = 1,129.17 × 730.38
  4. Step 4: Simplify right side
    817.86x = 824,723.18
  5. Step 5: Solve for x
    x = 824,723.18/817.86
  6. Step 6: Final answer
    x = 1,008.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.