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Finding the Fourth Proportional to 842.41, 1,162.51 and 548.25

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Solution

The fourth proportional to 842.41, 1,162.51 and 548.25 is: 756.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.41 : 1,162.51 = 548.25 : x
  2. Step 2: Convert to fraction form
    842.41/1,162.51 = 548.25/x
  3. Step 3: Cross multiply
    842.41x = 1,162.51 × 548.25
  4. Step 4: Simplify right side
    842.41x = 637,346.11
  5. Step 5: Solve for x
    x = 637,346.11/842.41
  6. Step 6: Final answer
    x = 756.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.