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Finding the Fourth Proportional to 975.55, 1,463.81 and 427.73

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Solution

The fourth proportional to 975.55, 1,463.81 and 427.73 is: 641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.55 : 1,463.81 = 427.73 : x
  2. Step 2: Convert to fraction form
    975.55/1,463.81 = 427.73/x
  3. Step 3: Cross multiply
    975.55x = 1,463.81 × 427.73
  4. Step 4: Simplify right side
    975.55x = 626,115.45
  5. Step 5: Solve for x
    x = 626,115.45/975.55
  6. Step 6: Final answer
    x = 641.81

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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.