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Finding the Fourth Proportional to 1,116.80, 1,541.07 and 619.31

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Solution

The fourth proportional to 1,116.80, 1,541.07 and 619.31 is: 854.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.80 : 1,541.07 = 619.31 : x
  2. Step 2: Convert to fraction form
    1,116.80/1,541.07 = 619.31/x
  3. Step 3: Cross multiply
    1,116.80x = 1,541.07 × 619.31
  4. Step 4: Simplify right side
    1,116.80x = 954,400.06
  5. Step 5: Solve for x
    x = 954,400.06/1,116.80
  6. Step 6: Final answer
    x = 854.58

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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.