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Finding the Fourth Proportional to 976.12, 1,465.52 and 543.60

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Solution

The fourth proportional to 976.12, 1,465.52 and 543.60 is: 816.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.12 : 1,465.52 = 543.60 : x
  2. Step 2: Convert to fraction form
    976.12/1,465.52 = 543.60/x
  3. Step 3: Cross multiply
    976.12x = 1,465.52 × 543.60
  4. Step 4: Simplify right side
    976.12x = 796,656.67
  5. Step 5: Solve for x
    x = 796,656.67/976.12
  6. Step 6: Final answer
    x = 816.15

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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.