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Finding the Fourth Proportional to 1,156.45, 1,596.41 and 890.79

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Solution

The fourth proportional to 1,156.45, 1,596.41 and 890.79 is: 1,229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.45 : 1,596.41 = 890.79 : x
  2. Step 2: Convert to fraction form
    1,156.45/1,596.41 = 890.79/x
  3. Step 3: Cross multiply
    1,156.45x = 1,596.41 × 890.79
  4. Step 4: Simplify right side
    1,156.45x = 1,422,066.06
  5. Step 5: Solve for x
    x = 1,422,066.06/1,156.45
  6. Step 6: Final answer
    x = 1,229.68

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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.