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Finding the Fourth Proportional to 729.03, 1,094.64 and 421.49

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Solution

The fourth proportional to 729.03, 1,094.64 and 421.49 is: 632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.03 : 1,094.64 = 421.49 : x
  2. Step 2: Convert to fraction form
    729.03/1,094.64 = 421.49/x
  3. Step 3: Cross multiply
    729.03x = 1,094.64 × 421.49
  4. Step 4: Simplify right side
    729.03x = 461,374.34
  5. Step 5: Solve for x
    x = 461,374.34/729.03
  6. Step 6: Final answer
    x = 632.86

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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.