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Finding the Fourth Proportional to 735.66, 1,102.95 and 411.12

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Solution

The fourth proportional to 735.66, 1,102.95 and 411.12 is: 616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.66 : 1,102.95 = 411.12 : x
  2. Step 2: Convert to fraction form
    735.66/1,102.95 = 411.12/x
  3. Step 3: Cross multiply
    735.66x = 1,102.95 × 411.12
  4. Step 4: Simplify right side
    735.66x = 453,444.80
  5. Step 5: Solve for x
    x = 453,444.80/735.66
  6. Step 6: Final answer
    x = 616.38

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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.