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Finding the Fourth Proportional to 1,703.97, 2,555.48 and 729.84

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Solution

The fourth proportional to 1,703.97, 2,555.48 and 729.84 is: 1,094.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.97 : 2,555.48 = 729.84 : x
  2. Step 2: Convert to fraction form
    1,703.97/2,555.48 = 729.84/x
  3. Step 3: Cross multiply
    1,703.97x = 2,555.48 × 729.84
  4. Step 4: Simplify right side
    1,703.97x = 1,865,102.93
  5. Step 5: Solve for x
    x = 1,865,102.93/1,703.97
  6. Step 6: Final answer
    x = 1,094.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.