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Finding the Fourth Proportional to 637.74, 954.90 and 550.80

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Solution

The fourth proportional to 637.74, 954.90 and 550.80 is: 824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.74 : 954.90 = 550.80 : x
  2. Step 2: Convert to fraction form
    637.74/954.90 = 550.80/x
  3. Step 3: Cross multiply
    637.74x = 954.90 × 550.80
  4. Step 4: Simplify right side
    637.74x = 525,958.92
  5. Step 5: Solve for x
    x = 525,958.92/637.74
  6. Step 6: Final answer
    x = 824.72

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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.