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Finding the Fourth Proportional to 743.56, 1,114.12 and 435.68

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Solution

The fourth proportional to 743.56, 1,114.12 and 435.68 is: 652.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.56 : 1,114.12 = 435.68 : x
  2. Step 2: Convert to fraction form
    743.56/1,114.12 = 435.68/x
  3. Step 3: Cross multiply
    743.56x = 1,114.12 × 435.68
  4. Step 4: Simplify right side
    743.56x = 485,399.80
  5. Step 5: Solve for x
    x = 485,399.80/743.56
  6. Step 6: Final answer
    x = 652.81

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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.