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Finding the Fourth Proportional to 920.02, 1,379.13 and 432.46

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Solution

The fourth proportional to 920.02, 1,379.13 and 432.46 is: 648.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.02 : 1,379.13 = 432.46 : x
  2. Step 2: Convert to fraction form
    920.02/1,379.13 = 432.46/x
  3. Step 3: Cross multiply
    920.02x = 1,379.13 × 432.46
  4. Step 4: Simplify right side
    920.02x = 596,418.56
  5. Step 5: Solve for x
    x = 596,418.56/920.02
  6. Step 6: Final answer
    x = 648.27

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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.