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Finding the Fourth Proportional to 729.35, 1,006.53 and 434.65

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Solution

The fourth proportional to 729.35, 1,006.53 and 434.65 is: 599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.35 : 1,006.53 = 434.65 : x
  2. Step 2: Convert to fraction form
    729.35/1,006.53 = 434.65/x
  3. Step 3: Cross multiply
    729.35x = 1,006.53 × 434.65
  4. Step 4: Simplify right side
    729.35x = 437,488.26
  5. Step 5: Solve for x
    x = 437,488.26/729.35
  6. Step 6: Final answer
    x = 599.83

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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.