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Finding the Fourth Proportional to 883.86, 1,217.24 and 805.98

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Solution

The fourth proportional to 883.86, 1,217.24 and 805.98 is: 1,109.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.86 : 1,217.24 = 805.98 : x
  2. Step 2: Convert to fraction form
    883.86/1,217.24 = 805.98/x
  3. Step 3: Cross multiply
    883.86x = 1,217.24 × 805.98
  4. Step 4: Simplify right side
    883.86x = 981,071.10
  5. Step 5: Solve for x
    x = 981,071.10/883.86
  6. Step 6: Final answer
    x = 1,109.98

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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.