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Finding the Fourth Proportional to 1,176.41, 1,757.86 and 897.23

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Solution

The fourth proportional to 1,176.41, 1,757.86 and 897.23 is: 1,340.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.41 : 1,757.86 = 897.23 : x
  2. Step 2: Convert to fraction form
    1,176.41/1,757.86 = 897.23/x
  3. Step 3: Cross multiply
    1,176.41x = 1,757.86 × 897.23
  4. Step 4: Simplify right side
    1,176.41x = 1,577,204.73
  5. Step 5: Solve for x
    x = 1,577,204.73/1,176.41
  6. Step 6: Final answer
    x = 1,340.69

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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.