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Finding the Fourth Proportional to 908.40, 1,359.45 and 543.45

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Solution

The fourth proportional to 908.40, 1,359.45 and 543.45 is: 813.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.40 : 1,359.45 = 543.45 : x
  2. Step 2: Convert to fraction form
    908.40/1,359.45 = 543.45/x
  3. Step 3: Cross multiply
    908.40x = 1,359.45 × 543.45
  4. Step 4: Simplify right side
    908.40x = 738,793.10
  5. Step 5: Solve for x
    x = 738,793.10/908.40
  6. Step 6: Final answer
    x = 813.29

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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.