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Finding the Fourth Proportional to 975.56, 1,463.38 and 427.46

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Solution

The fourth proportional to 975.56, 1,463.38 and 427.46 is: 641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.56 : 1,463.38 = 427.46 : x
  2. Step 2: Convert to fraction form
    975.56/1,463.38 = 427.46/x
  3. Step 3: Cross multiply
    975.56x = 1,463.38 × 427.46
  4. Step 4: Simplify right side
    975.56x = 625,536.41
  5. Step 5: Solve for x
    x = 625,536.41/975.56
  6. Step 6: Final answer
    x = 641.21

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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.