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Finding the Fourth Proportional to 975.45, 1,463.76 and 427.62

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Solution

The fourth proportional to 975.45, 1,463.76 and 427.62 is: 641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.45 : 1,463.76 = 427.62 : x
  2. Step 2: Convert to fraction form
    975.45/1,463.76 = 427.62/x
  3. Step 3: Cross multiply
    975.45x = 1,463.76 × 427.62
  4. Step 4: Simplify right side
    975.45x = 625,933.05
  5. Step 5: Solve for x
    x = 625,933.05/975.45
  6. Step 6: Final answer
    x = 641.69

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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.