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Finding the Fourth Proportional to 976.32, 1,460.80 and 543.76

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Solution

The fourth proportional to 976.32, 1,460.80 and 543.76 is: 813.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.32 : 1,460.80 = 543.76 : x
  2. Step 2: Convert to fraction form
    976.32/1,460.80 = 543.76/x
  3. Step 3: Cross multiply
    976.32x = 1,460.80 × 543.76
  4. Step 4: Simplify right side
    976.32x = 794,324.61
  5. Step 5: Solve for x
    x = 794,324.61/976.32
  6. Step 6: Final answer
    x = 813.59

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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.