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Finding the Fourth Proportional to 743.85, 1,115.16 and 353.64

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Solution

The fourth proportional to 743.85, 1,115.16 and 353.64 is: 530.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.85 : 1,115.16 = 353.64 : x
  2. Step 2: Convert to fraction form
    743.85/1,115.16 = 353.64/x
  3. Step 3: Cross multiply
    743.85x = 1,115.16 × 353.64
  4. Step 4: Simplify right side
    743.85x = 394,365.18
  5. Step 5: Solve for x
    x = 394,365.18/743.85
  6. Step 6: Final answer
    x = 530.17

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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.