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Finding the Fourth Proportional to 1,141.41, 1,710.57 and 410.31

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Solution

The fourth proportional to 1,141.41, 1,710.57 and 410.31 is: 614.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.41 : 1,710.57 = 410.31 : x
  2. Step 2: Convert to fraction form
    1,141.41/1,710.57 = 410.31/x
  3. Step 3: Cross multiply
    1,141.41x = 1,710.57 × 410.31
  4. Step 4: Simplify right side
    1,141.41x = 701,863.98
  5. Step 5: Solve for x
    x = 701,863.98/1,141.41
  6. Step 6: Final answer
    x = 614.91

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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.