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Finding the Fourth Proportional to 1,116.41, 1,674.61 and 538.88

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Solution

The fourth proportional to 1,116.41, 1,674.61 and 538.88 is: 808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.41 : 1,674.61 = 538.88 : x
  2. Step 2: Convert to fraction form
    1,116.41/1,674.61 = 538.88/x
  3. Step 3: Cross multiply
    1,116.41x = 1,674.61 × 538.88
  4. Step 4: Simplify right side
    1,116.41x = 902,404.12
  5. Step 5: Solve for x
    x = 902,404.12/1,116.41
  6. Step 6: Final answer
    x = 808.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.