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Finding the Fourth Proportional to 1,160.53, 1,600.46 and 1,076.69

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Solution

The fourth proportional to 1,160.53, 1,600.46 and 1,076.69 is: 1,484.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.53 : 1,600.46 = 1,076.69 : x
  2. Step 2: Convert to fraction form
    1,160.53/1,600.46 = 1,076.69/x
  3. Step 3: Cross multiply
    1,160.53x = 1,600.46 × 1,076.69
  4. Step 4: Simplify right side
    1,160.53x = 1,723,201.93
  5. Step 5: Solve for x
    x = 1,723,201.93/1,160.53
  6. Step 6: Final answer
    x = 1,484.84

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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.