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Finding the Fourth Proportional to 657.48, 987.84 and 494.67

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Solution

The fourth proportional to 657.48, 987.84 and 494.67 is: 743.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.48 : 987.84 = 494.67 : x
  2. Step 2: Convert to fraction form
    657.48/987.84 = 494.67/x
  3. Step 3: Cross multiply
    657.48x = 987.84 × 494.67
  4. Step 4: Simplify right side
    657.48x = 488,654.81
  5. Step 5: Solve for x
    x = 488,654.81/657.48
  6. Step 6: Final answer
    x = 743.22

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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.