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Finding the Fourth Proportional to 739.68, 1,108.64 and 414.56

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Solution

The fourth proportional to 739.68, 1,108.64 and 414.56 is: 621.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.68 : 1,108.64 = 414.56 : x
  2. Step 2: Convert to fraction form
    739.68/1,108.64 = 414.56/x
  3. Step 3: Cross multiply
    739.68x = 1,108.64 × 414.56
  4. Step 4: Simplify right side
    739.68x = 459,597.80
  5. Step 5: Solve for x
    x = 459,597.80/739.68
  6. Step 6: Final answer
    x = 621.35

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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.