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Finding the Fourth Proportional to 1,116.28, 1,674.12 and 385.72

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Solution

The fourth proportional to 1,116.28, 1,674.12 and 385.72 is: 578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.28 : 1,674.12 = 385.72 : x
  2. Step 2: Convert to fraction form
    1,116.28/1,674.12 = 385.72/x
  3. Step 3: Cross multiply
    1,116.28x = 1,674.12 × 385.72
  4. Step 4: Simplify right side
    1,116.28x = 645,741.57
  5. Step 5: Solve for x
    x = 645,741.57/1,116.28
  6. Step 6: Final answer
    x = 578.48

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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.