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Finding the Fourth Proportional to 975.70, 1,463.25 and 427.75

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Solution

The fourth proportional to 975.70, 1,463.25 and 427.75 is: 641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.70 : 1,463.25 = 427.75 : x
  2. Step 2: Convert to fraction form
    975.70/1,463.25 = 427.75/x
  3. Step 3: Cross multiply
    975.70x = 1,463.25 × 427.75
  4. Step 4: Simplify right side
    975.70x = 625,905.19
  5. Step 5: Solve for x
    x = 625,905.19/975.70
  6. Step 6: Final answer
    x = 641.49

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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.