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Finding the Fourth Proportional to 1,176.90, 1,622.37 and 896.64

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Solution

The fourth proportional to 1,176.90, 1,622.37 and 896.64 is: 1,236.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.90 : 1,622.37 = 896.64 : x
  2. Step 2: Convert to fraction form
    1,176.90/1,622.37 = 896.64/x
  3. Step 3: Cross multiply
    1,176.90x = 1,622.37 × 896.64
  4. Step 4: Simplify right side
    1,176.90x = 1,454,681.84
  5. Step 5: Solve for x
    x = 1,454,681.84/1,176.90
  6. Step 6: Final answer
    x = 1,236.03

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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.