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Finding the Fourth Proportional to 743.40, 1,114.92 and 353.23

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Solution

The fourth proportional to 743.40, 1,114.92 and 353.23 is: 529.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.40 : 1,114.92 = 353.23 : x
  2. Step 2: Convert to fraction form
    743.40/1,114.92 = 353.23/x
  3. Step 3: Cross multiply
    743.40x = 1,114.92 × 353.23
  4. Step 4: Simplify right side
    743.40x = 393,820.40
  5. Step 5: Solve for x
    x = 393,820.40/743.40
  6. Step 6: Final answer
    x = 529.76

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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.