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Finding the Fourth Proportional to 1,141.29, 1,574.99 and 617.33

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Solution

The fourth proportional to 1,141.29, 1,574.99 and 617.33 is: 851.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.29 : 1,574.99 = 617.33 : x
  2. Step 2: Convert to fraction form
    1,141.29/1,574.99 = 617.33/x
  3. Step 3: Cross multiply
    1,141.29x = 1,574.99 × 617.33
  4. Step 4: Simplify right side
    1,141.29x = 972,277.62
  5. Step 5: Solve for x
    x = 972,277.62/1,141.29
  6. Step 6: Final answer
    x = 851.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.