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Finding the Fourth Proportional to 1,116.73, 1,541.31 and 644.93

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Solution

The fourth proportional to 1,116.73, 1,541.31 and 644.93 is: 890.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.73 : 1,541.31 = 644.93 : x
  2. Step 2: Convert to fraction form
    1,116.73/1,541.31 = 644.93/x
  3. Step 3: Cross multiply
    1,116.73x = 1,541.31 × 644.93
  4. Step 4: Simplify right side
    1,116.73x = 994,033.83
  5. Step 5: Solve for x
    x = 994,033.83/1,116.73
  6. Step 6: Final answer
    x = 890.13

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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.