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Finding the Fourth Proportional to 755.73, 1,133.39 and 430.92

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Solution

The fourth proportional to 755.73, 1,133.39 and 430.92 is: 646.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.73 : 1,133.39 = 430.92 : x
  2. Step 2: Convert to fraction form
    755.73/1,133.39 = 430.92/x
  3. Step 3: Cross multiply
    755.73x = 1,133.39 × 430.92
  4. Step 4: Simplify right side
    755.73x = 488,401.50
  5. Step 5: Solve for x
    x = 488,401.50/755.73
  6. Step 6: Final answer
    x = 646.26

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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.