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Finding the Fourth Proportional to 738.56, 1,107.84 and 414.08

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Solution

The fourth proportional to 738.56, 1,107.84 and 414.08 is: 621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.56 : 1,107.84 = 414.08 : x
  2. Step 2: Convert to fraction form
    738.56/1,107.84 = 414.08/x
  3. Step 3: Cross multiply
    738.56x = 1,107.84 × 414.08
  4. Step 4: Simplify right side
    738.56x = 458,734.39
  5. Step 5: Solve for x
    x = 458,734.39/738.56
  6. Step 6: Final answer
    x = 621.12

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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.