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Finding the Fourth Proportional to 743.63, 1,115.87 and 414.61

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Solution

The fourth proportional to 743.63, 1,115.87 and 414.61 is: 622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.63 : 1,115.87 = 414.61 : x
  2. Step 2: Convert to fraction form
    743.63/1,115.87 = 414.61/x
  3. Step 3: Cross multiply
    743.63x = 1,115.87 × 414.61
  4. Step 4: Simplify right side
    743.63x = 462,646.00
  5. Step 5: Solve for x
    x = 462,646.00/743.63
  6. Step 6: Final answer
    x = 622.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.