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Finding the Fourth Proportional to 975.78, 1,463.13 and 397.98

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Solution

The fourth proportional to 975.78, 1,463.13 and 397.98 is: 596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.78 : 1,463.13 = 397.98 : x
  2. Step 2: Convert to fraction form
    975.78/1,463.13 = 397.98/x
  3. Step 3: Cross multiply
    975.78x = 1,463.13 × 397.98
  4. Step 4: Simplify right side
    975.78x = 582,296.48
  5. Step 5: Solve for x
    x = 582,296.48/975.78
  6. Step 6: Final answer
    x = 596.75

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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.