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Finding the Fourth Proportional to 1,141.24, 1,573.96 and 964.62

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Solution

The fourth proportional to 1,141.24, 1,573.96 and 964.62 is: 1,330.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.24 : 1,573.96 = 964.62 : x
  2. Step 2: Convert to fraction form
    1,141.24/1,573.96 = 964.62/x
  3. Step 3: Cross multiply
    1,141.24x = 1,573.96 × 964.62
  4. Step 4: Simplify right side
    1,141.24x = 1,518,273.30
  5. Step 5: Solve for x
    x = 1,518,273.30/1,141.24
  6. Step 6: Final answer
    x = 1,330.37

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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.