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Finding the Fourth Proportional to 975.92, 1,463.05 and 427.69

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Solution

The fourth proportional to 975.92, 1,463.05 and 427.69 is: 641.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.92 : 1,463.05 = 427.69 : x
  2. Step 2: Convert to fraction form
    975.92/1,463.05 = 427.69/x
  3. Step 3: Cross multiply
    975.92x = 1,463.05 × 427.69
  4. Step 4: Simplify right side
    975.92x = 625,731.85
  5. Step 5: Solve for x
    x = 625,731.85/975.92
  6. Step 6: Final answer
    x = 641.17

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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.