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Finding the Fourth Proportional to 1,116.49, 1,540.75 and 619.16

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Solution

The fourth proportional to 1,116.49, 1,540.75 and 619.16 is: 854.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.49 : 1,540.75 = 619.16 : x
  2. Step 2: Convert to fraction form
    1,116.49/1,540.75 = 619.16/x
  3. Step 3: Cross multiply
    1,116.49x = 1,540.75 × 619.16
  4. Step 4: Simplify right side
    1,116.49x = 953,967.67
  5. Step 5: Solve for x
    x = 953,967.67/1,116.49
  6. Step 6: Final answer
    x = 854.43

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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.