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Finding the Fourth Proportional to 1,116.85, 1,541.50 and 619.66

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Solution

The fourth proportional to 1,116.85, 1,541.50 and 619.66 is: 855.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.85 : 1,541.50 = 619.66 : x
  2. Step 2: Convert to fraction form
    1,116.85/1,541.50 = 619.66/x
  3. Step 3: Cross multiply
    1,116.85x = 1,541.50 × 619.66
  4. Step 4: Simplify right side
    1,116.85x = 955,202.79
  5. Step 5: Solve for x
    x = 955,202.79/1,116.85
  6. Step 6: Final answer
    x = 855.27

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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.