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Finding the Fourth Proportional to 736.42, 1,102.29 and 410.80

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Solution

The fourth proportional to 736.42, 1,102.29 and 410.80 is: 614.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.42 : 1,102.29 = 410.80 : x
  2. Step 2: Convert to fraction form
    736.42/1,102.29 = 410.80/x
  3. Step 3: Cross multiply
    736.42x = 1,102.29 × 410.80
  4. Step 4: Simplify right side
    736.42x = 452,820.73
  5. Step 5: Solve for x
    x = 452,820.73/736.42
  6. Step 6: Final answer
    x = 614.89

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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.