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Finding the Fourth Proportional to 729.42, 1,094.34 and 421.50

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Solution

The fourth proportional to 729.42, 1,094.34 and 421.50 is: 632.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.42 : 1,094.34 = 421.50 : x
  2. Step 2: Convert to fraction form
    729.42/1,094.34 = 421.50/x
  3. Step 3: Cross multiply
    729.42x = 1,094.34 × 421.50
  4. Step 4: Simplify right side
    729.42x = 461,264.31
  5. Step 5: Solve for x
    x = 461,264.31/729.42
  6. Step 6: Final answer
    x = 632.37

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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.