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Finding the Fourth Proportional to 1,160.65, 1,601.37 and 688.34

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Solution

The fourth proportional to 1,160.65, 1,601.37 and 688.34 is: 949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.65 : 1,601.37 = 688.34 : x
  2. Step 2: Convert to fraction form
    1,160.65/1,601.37 = 688.34/x
  3. Step 3: Cross multiply
    1,160.65x = 1,601.37 × 688.34
  4. Step 4: Simplify right side
    1,160.65x = 1,102,287.03
  5. Step 5: Solve for x
    x = 1,102,287.03/1,160.65
  6. Step 6: Final answer
    x = 949.72

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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.