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Finding the Fourth Proportional to 1,141.07, 1,574.67 and 617.09

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Solution

The fourth proportional to 1,141.07, 1,574.67 and 617.09 is: 851.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.07 : 1,574.67 = 617.09 : x
  2. Step 2: Convert to fraction form
    1,141.07/1,574.67 = 617.09/x
  3. Step 3: Cross multiply
    1,141.07x = 1,574.67 × 617.09
  4. Step 4: Simplify right side
    1,141.07x = 971,713.11
  5. Step 5: Solve for x
    x = 971,713.11/1,141.07
  6. Step 6: Final answer
    x = 851.58

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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.