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Finding the Fourth Proportional to 1,076.96, 1,486.14 and 604.90

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Solution

The fourth proportional to 1,076.96, 1,486.14 and 604.90 is: 834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.96 : 1,486.14 = 604.90 : x
  2. Step 2: Convert to fraction form
    1,076.96/1,486.14 = 604.90/x
  3. Step 3: Cross multiply
    1,076.96x = 1,486.14 × 604.90
  4. Step 4: Simplify right side
    1,076.96x = 898,966.09
  5. Step 5: Solve for x
    x = 898,966.09/1,076.96
  6. Step 6: Final answer
    x = 834.73

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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.