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Finding the Fourth Proportional to 729.79, 1,094.68 and 457.61

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Solution

The fourth proportional to 729.79, 1,094.68 and 457.61 is: 686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.79 : 1,094.68 = 457.61 : x
  2. Step 2: Convert to fraction form
    729.79/1,094.68 = 457.61/x
  3. Step 3: Cross multiply
    729.79x = 1,094.68 × 457.61
  4. Step 4: Simplify right side
    729.79x = 500,936.09
  5. Step 5: Solve for x
    x = 500,936.09/729.79
  6. Step 6: Final answer
    x = 686.41

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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.