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Finding the Fourth Proportional to 735.42, 1,103.15 and 410.53

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Solution

The fourth proportional to 735.42, 1,103.15 and 410.53 is: 615.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.42 : 1,103.15 = 410.53 : x
  2. Step 2: Convert to fraction form
    735.42/1,103.15 = 410.53/x
  3. Step 3: Cross multiply
    735.42x = 1,103.15 × 410.53
  4. Step 4: Simplify right side
    735.42x = 452,876.17
  5. Step 5: Solve for x
    x = 452,876.17/735.42
  6. Step 6: Final answer
    x = 615.81

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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.