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Finding the Fourth Proportional to 1,141.57, 1,575.37 and 617.60

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Solution

The fourth proportional to 1,141.57, 1,575.37 and 617.60 is: 852.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.57 : 1,575.37 = 617.60 : x
  2. Step 2: Convert to fraction form
    1,141.57/1,575.37 = 617.60/x
  3. Step 3: Cross multiply
    1,141.57x = 1,575.37 × 617.60
  4. Step 4: Simplify right side
    1,141.57x = 972,949.11
  5. Step 5: Solve for x
    x = 972,949.11/1,141.57
  6. Step 6: Final answer
    x = 852.29

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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.