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Finding the Fourth Proportional to 735.72, 1,102.94 and 411.56

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Solution

The fourth proportional to 735.72, 1,102.94 and 411.56 is: 616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.72 : 1,102.94 = 411.56 : x
  2. Step 2: Convert to fraction form
    735.72/1,102.94 = 411.56/x
  3. Step 3: Cross multiply
    735.72x = 1,102.94 × 411.56
  4. Step 4: Simplify right side
    735.72x = 453,925.99
  5. Step 5: Solve for x
    x = 453,925.99/735.72
  6. Step 6: Final answer
    x = 616.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.