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Finding the Fourth Proportional to 786.73, 1,174.35 and 729.63

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Solution

The fourth proportional to 786.73, 1,174.35 and 729.63 is: 1,089.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.73 : 1,174.35 = 729.63 : x
  2. Step 2: Convert to fraction form
    786.73/1,174.35 = 729.63/x
  3. Step 3: Cross multiply
    786.73x = 1,174.35 × 729.63
  4. Step 4: Simplify right side
    786.73x = 856,840.99
  5. Step 5: Solve for x
    x = 856,840.99/786.73
  6. Step 6: Final answer
    x = 1,089.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.