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Finding the Fourth Proportional to 1,116.25, 1,674.14 and 385.88

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Solution

The fourth proportional to 1,116.25, 1,674.14 and 385.88 is: 578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.25 : 1,674.14 = 385.88 : x
  2. Step 2: Convert to fraction form
    1,116.25/1,674.14 = 385.88/x
  3. Step 3: Cross multiply
    1,116.25x = 1,674.14 × 385.88
  4. Step 4: Simplify right side
    1,116.25x = 646,017.14
  5. Step 5: Solve for x
    x = 646,017.14/1,116.25
  6. Step 6: Final answer
    x = 578.74

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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.