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Finding the Fourth Proportional to 1,116.88, 1,673.38 and 538.52

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Solution

The fourth proportional to 1,116.88, 1,673.38 and 538.52 is: 806.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.88 : 1,673.38 = 538.52 : x
  2. Step 2: Convert to fraction form
    1,116.88/1,673.38 = 538.52/x
  3. Step 3: Cross multiply
    1,116.88x = 1,673.38 × 538.52
  4. Step 4: Simplify right side
    1,116.88x = 901,148.60
  5. Step 5: Solve for x
    x = 901,148.60/1,116.88
  6. Step 6: Final answer
    x = 806.84

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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.