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Finding the Fourth Proportional to 1,116.37, 1,540.54 and 619.01

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Solution

The fourth proportional to 1,116.37, 1,540.54 and 619.01 is: 854.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.37 : 1,540.54 = 619.01 : x
  2. Step 2: Convert to fraction form
    1,116.37/1,540.54 = 619.01/x
  3. Step 3: Cross multiply
    1,116.37x = 1,540.54 × 619.01
  4. Step 4: Simplify right side
    1,116.37x = 953,609.67
  5. Step 5: Solve for x
    x = 953,609.67/1,116.37
  6. Step 6: Final answer
    x = 854.21

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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.