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Finding the Fourth Proportional to 1,116.29, 1,674.68 and 336.23

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Solution

The fourth proportional to 1,116.29, 1,674.68 and 336.23 is: 504.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.29 : 1,674.68 = 336.23 : x
  2. Step 2: Convert to fraction form
    1,116.29/1,674.68 = 336.23/x
  3. Step 3: Cross multiply
    1,116.29x = 1,674.68 × 336.23
  4. Step 4: Simplify right side
    1,116.29x = 563,082.68
  5. Step 5: Solve for x
    x = 563,082.68/1,116.29
  6. Step 6: Final answer
    x = 504.42

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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.