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Finding the Fourth Proportional to 1,141, 1,711.96 and 410.64

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Solution

The fourth proportional to 1,141, 1,711.96 and 410.64 is: 616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141 : 1,711.96 = 410.64 : x
  2. Step 2: Convert to fraction form
    1,141/1,711.96 = 410.64/x
  3. Step 3: Cross multiply
    1,141x = 1,711.96 × 410.64
  4. Step 4: Simplify right side
    1,141x = 702,999.25
  5. Step 5: Solve for x
    x = 702,999.25/1,141
  6. Step 6: Final answer
    x = 616.13

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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.