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Finding the Fourth Proportional to 736.12, 1,103.70 and 407.08

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Solution

The fourth proportional to 736.12, 1,103.70 and 407.08 is: 610.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.12 : 1,103.70 = 407.08 : x
  2. Step 2: Convert to fraction form
    736.12/1,103.70 = 407.08/x
  3. Step 3: Cross multiply
    736.12x = 1,103.70 × 407.08
  4. Step 4: Simplify right side
    736.12x = 449,294.20
  5. Step 5: Solve for x
    x = 449,294.20/736.12
  6. Step 6: Final answer
    x = 610.35

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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.