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Finding the Fourth Proportional to 718.80, 1,076.82 and 409.74

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Solution

The fourth proportional to 718.80, 1,076.82 and 409.74 is: 613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.80 : 1,076.82 = 409.74 : x
  2. Step 2: Convert to fraction form
    718.80/1,076.82 = 409.74/x
  3. Step 3: Cross multiply
    718.80x = 1,076.82 × 409.74
  4. Step 4: Simplify right side
    718.80x = 441,216.23
  5. Step 5: Solve for x
    x = 441,216.23/718.80
  6. Step 6: Final answer
    x = 613.82

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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.