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Finding the Fourth Proportional to 729.07, 1,006.10 and 397.50

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Solution

The fourth proportional to 729.07, 1,006.10 and 397.50 is: 548.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.07 : 1,006.10 = 397.50 : x
  2. Step 2: Convert to fraction form
    729.07/1,006.10 = 397.50/x
  3. Step 3: Cross multiply
    729.07x = 1,006.10 × 397.50
  4. Step 4: Simplify right side
    729.07x = 399,922.76
  5. Step 5: Solve for x
    x = 399,922.76/729.07
  6. Step 6: Final answer
    x = 548.54

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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.