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Finding the Fourth Proportional to 1,158.71, 1,733.69 and 812.71

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Solution

The fourth proportional to 1,158.71, 1,733.69 and 812.71 is: 1,216.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.71 : 1,733.69 = 812.71 : x
  2. Step 2: Convert to fraction form
    1,158.71/1,733.69 = 812.71/x
  3. Step 3: Cross multiply
    1,158.71x = 1,733.69 × 812.71
  4. Step 4: Simplify right side
    1,158.71x = 1,408,991.40
  5. Step 5: Solve for x
    x = 1,408,991.40/1,158.71
  6. Step 6: Final answer
    x = 1,216.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.