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Finding the Fourth Proportional to 729.34, 1,095.64 and 440.98

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Solution

The fourth proportional to 729.34, 1,095.64 and 440.98 is: 662.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.34 : 1,095.64 = 440.98 : x
  2. Step 2: Convert to fraction form
    729.34/1,095.64 = 440.98/x
  3. Step 3: Cross multiply
    729.34x = 1,095.64 × 440.98
  4. Step 4: Simplify right side
    729.34x = 483,155.33
  5. Step 5: Solve for x
    x = 483,155.33/729.34
  6. Step 6: Final answer
    x = 662.46

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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.