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Finding the Fourth Proportional to 1,164.93, 1,605.24 and 1,082.91

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Solution

The fourth proportional to 1,164.93, 1,605.24 and 1,082.91 is: 1,492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.93 : 1,605.24 = 1,082.91 : x
  2. Step 2: Convert to fraction form
    1,164.93/1,605.24 = 1,082.91/x
  3. Step 3: Cross multiply
    1,164.93x = 1,605.24 × 1,082.91
  4. Step 4: Simplify right side
    1,164.93x = 1,738,330.45
  5. Step 5: Solve for x
    x = 1,738,330.45/1,164.93
  6. Step 6: Final answer
    x = 1,492.22

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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.