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Finding the Fourth Proportional to 735.54, 1,102.95 and 410.82

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Solution

The fourth proportional to 735.54, 1,102.95 and 410.82 is: 616.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.54 : 1,102.95 = 410.82 : x
  2. Step 2: Convert to fraction form
    735.54/1,102.95 = 410.82/x
  3. Step 3: Cross multiply
    735.54x = 1,102.95 × 410.82
  4. Step 4: Simplify right side
    735.54x = 453,113.92
  5. Step 5: Solve for x
    x = 453,113.92/735.54
  6. Step 6: Final answer
    x = 616.03

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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.