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Finding the Fourth Proportional to 729.62, 1,006.79 and 434.83

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Solution

The fourth proportional to 729.62, 1,006.79 and 434.83 is: 600.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.62 : 1,006.79 = 434.83 : x
  2. Step 2: Convert to fraction form
    729.62/1,006.79 = 434.83/x
  3. Step 3: Cross multiply
    729.62x = 1,006.79 × 434.83
  4. Step 4: Simplify right side
    729.62x = 437,782.50
  5. Step 5: Solve for x
    x = 437,782.50/729.62
  6. Step 6: Final answer
    x = 600.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.