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Finding the Fourth Proportional to 743.55, 1,114.31 and 536.47

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Solution

The fourth proportional to 743.55, 1,114.31 and 536.47 is: 803.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.55 : 1,114.31 = 536.47 : x
  2. Step 2: Convert to fraction form
    743.55/1,114.31 = 536.47/x
  3. Step 3: Cross multiply
    743.55x = 1,114.31 × 536.47
  4. Step 4: Simplify right side
    743.55x = 597,795.69
  5. Step 5: Solve for x
    x = 597,795.69/743.55
  6. Step 6: Final answer
    x = 803.97

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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.