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Finding the Fourth Proportional to 662.82, 992.25 and 546.72

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Solution

The fourth proportional to 662.82, 992.25 and 546.72 is: 818.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.82 : 992.25 = 546.72 : x
  2. Step 2: Convert to fraction form
    662.82/992.25 = 546.72/x
  3. Step 3: Cross multiply
    662.82x = 992.25 × 546.72
  4. Step 4: Simplify right side
    662.82x = 542,482.92
  5. Step 5: Solve for x
    x = 542,482.92/662.82
  6. Step 6: Final answer
    x = 818.45

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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.