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Finding the Fourth Proportional to 740.05, 1,108.66 and 414.43

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Solution

The fourth proportional to 740.05, 1,108.66 and 414.43 is: 620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.05 : 1,108.66 = 414.43 : x
  2. Step 2: Convert to fraction form
    740.05/1,108.66 = 414.43/x
  3. Step 3: Cross multiply
    740.05x = 1,108.66 × 414.43
  4. Step 4: Simplify right side
    740.05x = 459,461.96
  5. Step 5: Solve for x
    x = 459,461.96/740.05
  6. Step 6: Final answer
    x = 620.85

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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.