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Finding the Fourth Proportional to 1,116.71, 1,541.03 and 619.34

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Solution

The fourth proportional to 1,116.71, 1,541.03 and 619.34 is: 854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.71 : 1,541.03 = 619.34 : x
  2. Step 2: Convert to fraction form
    1,116.71/1,541.03 = 619.34/x
  3. Step 3: Cross multiply
    1,116.71x = 1,541.03 × 619.34
  4. Step 4: Simplify right side
    1,116.71x = 954,422.28
  5. Step 5: Solve for x
    x = 954,422.28/1,116.71
  6. Step 6: Final answer
    x = 854.68

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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.