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Finding the Fourth Proportional to 729.02, 1,006.36 and 533.94

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Solution

The fourth proportional to 729.02, 1,006.36 and 533.94 is: 737.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.02 : 1,006.36 = 533.94 : x
  2. Step 2: Convert to fraction form
    729.02/1,006.36 = 533.94/x
  3. Step 3: Cross multiply
    729.02x = 1,006.36 × 533.94
  4. Step 4: Simplify right side
    729.02x = 537,335.86
  5. Step 5: Solve for x
    x = 537,335.86/729.02
  6. Step 6: Final answer
    x = 737.07

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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.