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Finding the Fourth Proportional to 1,134.68, 1,566.29 and 976.73

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Solution

The fourth proportional to 1,134.68, 1,566.29 and 976.73 is: 1,348.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.68 : 1,566.29 = 976.73 : x
  2. Step 2: Convert to fraction form
    1,134.68/1,566.29 = 976.73/x
  3. Step 3: Cross multiply
    1,134.68x = 1,566.29 × 976.73
  4. Step 4: Simplify right side
    1,134.68x = 1,529,842.43
  5. Step 5: Solve for x
    x = 1,529,842.43/1,134.68
  6. Step 6: Final answer
    x = 1,348.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.