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Finding the Fourth Proportional to 854.40, 1,176.48 and 729.12

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Solution

The fourth proportional to 854.40, 1,176.48 and 729.12 is: 1,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.40 : 1,176.48 = 729.12 : x
  2. Step 2: Convert to fraction form
    854.40/1,176.48 = 729.12/x
  3. Step 3: Cross multiply
    854.40x = 1,176.48 × 729.12
  4. Step 4: Simplify right side
    854.40x = 857,795.10
  5. Step 5: Solve for x
    x = 857,795.10/854.40
  6. Step 6: Final answer
    x = 1,003.97

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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.