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Finding the Fourth Proportional to 1,057.41, 1,456.02 and 958.55

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Solution

The fourth proportional to 1,057.41, 1,456.02 and 958.55 is: 1,319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.41 : 1,456.02 = 958.55 : x
  2. Step 2: Convert to fraction form
    1,057.41/1,456.02 = 958.55/x
  3. Step 3: Cross multiply
    1,057.41x = 1,456.02 × 958.55
  4. Step 4: Simplify right side
    1,057.41x = 1,395,660.69
  5. Step 5: Solve for x
    x = 1,395,660.69/1,057.41
  6. Step 6: Final answer
    x = 1,319.89

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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.