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Finding the Fourth Proportional to 1,141.57, 1,711.29 and 410.75

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Solution

The fourth proportional to 1,141.57, 1,711.29 and 410.75 is: 615.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.57 : 1,711.29 = 410.75 : x
  2. Step 2: Convert to fraction form
    1,141.57/1,711.29 = 410.75/x
  3. Step 3: Cross multiply
    1,141.57x = 1,711.29 × 410.75
  4. Step 4: Simplify right side
    1,141.57x = 702,903.81
  5. Step 5: Solve for x
    x = 702,903.81/1,141.57
  6. Step 6: Final answer
    x = 615.74

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Why These Related Problems?

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