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Finding the Fourth Proportional to 975.27, 1,462.86 and 325.98

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Solution

The fourth proportional to 975.27, 1,462.86 and 325.98 is: 488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.27 : 1,462.86 = 325.98 : x
  2. Step 2: Convert to fraction form
    975.27/1,462.86 = 325.98/x
  3. Step 3: Cross multiply
    975.27x = 1,462.86 × 325.98
  4. Step 4: Simplify right side
    975.27x = 476,863.10
  5. Step 5: Solve for x
    x = 476,863.10/975.27
  6. Step 6: Final answer
    x = 488.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.