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Finding the Fourth Proportional to 1,116.86, 1,541.25 and 619.47

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Solution

The fourth proportional to 1,116.86, 1,541.25 and 619.47 is: 854.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.86 : 1,541.25 = 619.47 : x
  2. Step 2: Convert to fraction form
    1,116.86/1,541.25 = 619.47/x
  3. Step 3: Cross multiply
    1,116.86x = 1,541.25 × 619.47
  4. Step 4: Simplify right side
    1,116.86x = 954,758.14
  5. Step 5: Solve for x
    x = 954,758.14/1,116.86
  6. Step 6: Final answer
    x = 854.86

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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.