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Finding the Fourth Proportional to 1,116.68, 1,541.03 and 619.33

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Solution

The fourth proportional to 1,116.68, 1,541.03 and 619.33 is: 854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.68 : 1,541.03 = 619.33 : x
  2. Step 2: Convert to fraction form
    1,116.68/1,541.03 = 619.33/x
  3. Step 3: Cross multiply
    1,116.68x = 1,541.03 × 619.33
  4. Step 4: Simplify right side
    1,116.68x = 954,402.05
  5. Step 5: Solve for x
    x = 954,402.05/1,116.68
  6. Step 6: Final answer
    x = 854.68

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