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Finding the Fourth Proportional to 729.75, 1,006.63 and 435

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Solution

The fourth proportional to 729.75, 1,006.63 and 435 is: 600.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.75 : 1,006.63 = 435 : x
  2. Step 2: Convert to fraction form
    729.75/1,006.63 = 435/x
  3. Step 3: Cross multiply
    729.75x = 1,006.63 × 435
  4. Step 4: Simplify right side
    729.75x = 437,884.05
  5. Step 5: Solve for x
    x = 437,884.05/729.75
  6. Step 6: Final answer
    x = 600.05

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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.