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Finding the Fourth Proportional to 873.60, 1,200 and 869.28

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Solution

The fourth proportional to 873.60, 1,200 and 869.28 is: 1,194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.60 : 1,200 = 869.28 : x
  2. Step 2: Convert to fraction form
    873.60/1,200 = 869.28/x
  3. Step 3: Cross multiply
    873.60x = 1,200 × 869.28
  4. Step 4: Simplify right side
    873.60x = 1,043,136
  5. Step 5: Solve for x
    x = 1,043,136/873.60
  6. Step 6: Final answer
    x = 1,194.07

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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.