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Finding the Fourth Proportional to 1,116.36, 1,540.58 and 619.03

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Solution

The fourth proportional to 1,116.36, 1,540.58 and 619.03 is: 854.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.36 : 1,540.58 = 619.03 : x
  2. Step 2: Convert to fraction form
    1,116.36/1,540.58 = 619.03/x
  3. Step 3: Cross multiply
    1,116.36x = 1,540.58 × 619.03
  4. Step 4: Simplify right side
    1,116.36x = 953,665.24
  5. Step 5: Solve for x
    x = 953,665.24/1,116.36
  6. Step 6: Final answer
    x = 854.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.