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Finding the Fourth Proportional to 884.40, 1,214.99 and 792.33

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Solution

The fourth proportional to 884.40, 1,214.99 and 792.33 is: 1,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.40 : 1,214.99 = 792.33 : x
  2. Step 2: Convert to fraction form
    884.40/1,214.99 = 792.33/x
  3. Step 3: Cross multiply
    884.40x = 1,214.99 × 792.33
  4. Step 4: Simplify right side
    884.40x = 962,669.07
  5. Step 5: Solve for x
    x = 962,669.07/884.40
  6. Step 6: Final answer
    x = 1,088.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.