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Finding the Fourth Proportional to 1,116.55, 1,674.84 and 386.14

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Solution

The fourth proportional to 1,116.55, 1,674.84 and 386.14 is: 579.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.55 : 1,674.84 = 386.14 : x
  2. Step 2: Convert to fraction form
    1,116.55/1,674.84 = 386.14/x
  3. Step 3: Cross multiply
    1,116.55x = 1,674.84 × 386.14
  4. Step 4: Simplify right side
    1,116.55x = 646,726.20
  5. Step 5: Solve for x
    x = 646,726.20/1,116.55
  6. Step 6: Final answer
    x = 579.22

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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.