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Finding the Fourth Proportional to 976.12, 1,461.66 and 542.68

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Solution

The fourth proportional to 976.12, 1,461.66 and 542.68 is: 812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.12 : 1,461.66 = 542.68 : x
  2. Step 2: Convert to fraction form
    976.12/1,461.66 = 542.68/x
  3. Step 3: Cross multiply
    976.12x = 1,461.66 × 542.68
  4. Step 4: Simplify right side
    976.12x = 793,213.65
  5. Step 5: Solve for x
    x = 793,213.65/976.12
  6. Step 6: Final answer
    x = 812.62

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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.