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Finding the Fourth Proportional to 729.51, 1,092.63 and 514.05

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Solution

The fourth proportional to 729.51, 1,092.63 and 514.05 is: 769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.51 : 1,092.63 = 514.05 : x
  2. Step 2: Convert to fraction form
    729.51/1,092.63 = 514.05/x
  3. Step 3: Cross multiply
    729.51x = 1,092.63 × 514.05
  4. Step 4: Simplify right side
    729.51x = 561,666.45
  5. Step 5: Solve for x
    x = 561,666.45/729.51
  6. Step 6: Final answer
    x = 769.92

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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.