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Finding the Fourth Proportional to 883.59, 1,214.39 and 858.99

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Solution

The fourth proportional to 883.59, 1,214.39 and 858.99 is: 1,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.59 : 1,214.39 = 858.99 : x
  2. Step 2: Convert to fraction form
    883.59/1,214.39 = 858.99/x
  3. Step 3: Cross multiply
    883.59x = 1,214.39 × 858.99
  4. Step 4: Simplify right side
    883.59x = 1,043,144.57
  5. Step 5: Solve for x
    x = 1,043,144.57/883.59
  6. Step 6: Final answer
    x = 1,180.58

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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.