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Finding the Fourth Proportional to 729.84, 1,094.61 and 382.77

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Solution

The fourth proportional to 729.84, 1,094.61 and 382.77 is: 574.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.84 : 1,094.61 = 382.77 : x
  2. Step 2: Convert to fraction form
    729.84/1,094.61 = 382.77/x
  3. Step 3: Cross multiply
    729.84x = 1,094.61 × 382.77
  4. Step 4: Simplify right side
    729.84x = 418,983.87
  5. Step 5: Solve for x
    x = 418,983.87/729.84
  6. Step 6: Final answer
    x = 574.08

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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.