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Finding the Fourth Proportional to 1,147.41, 1,711.55 and 1,036.68

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Solution

The fourth proportional to 1,147.41, 1,711.55 and 1,036.68 is: 1,546.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.41 : 1,711.55 = 1,036.68 : x
  2. Step 2: Convert to fraction form
    1,147.41/1,711.55 = 1,036.68/x
  3. Step 3: Cross multiply
    1,147.41x = 1,711.55 × 1,036.68
  4. Step 4: Simplify right side
    1,147.41x = 1,774,321.10
  5. Step 5: Solve for x
    x = 1,774,321.10/1,147.41
  6. Step 6: Final answer
    x = 1,546.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.