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Finding the Fourth Proportional to 1,141.93, 1,710.96 and 620.74

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Solution

The fourth proportional to 1,141.93, 1,710.96 and 620.74 is: 930.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.93 : 1,710.96 = 620.74 : x
  2. Step 2: Convert to fraction form
    1,141.93/1,710.96 = 620.74/x
  3. Step 3: Cross multiply
    1,141.93x = 1,710.96 × 620.74
  4. Step 4: Simplify right side
    1,141.93x = 1,062,061.31
  5. Step 5: Solve for x
    x = 1,062,061.31/1,141.93
  6. Step 6: Final answer
    x = 930.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.