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Finding the Fourth Proportional to 813.60, 1,119.96 and 729.36

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Solution

The fourth proportional to 813.60, 1,119.96 and 729.36 is: 1,004.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.60 : 1,119.96 = 729.36 : x
  2. Step 2: Convert to fraction form
    813.60/1,119.96 = 729.36/x
  3. Step 3: Cross multiply
    813.60x = 1,119.96 × 729.36
  4. Step 4: Simplify right side
    813.60x = 816,854.03
  5. Step 5: Solve for x
    x = 816,854.03/813.60
  6. Step 6: Final answer
    x = 1,004.00

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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.