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Finding the Fourth Proportional to 1,173.53, 1,619.46 and 649.58

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Solution

The fourth proportional to 1,173.53, 1,619.46 and 649.58 is: 896.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.53 : 1,619.46 = 649.58 : x
  2. Step 2: Convert to fraction form
    1,173.53/1,619.46 = 649.58/x
  3. Step 3: Cross multiply
    1,173.53x = 1,619.46 × 649.58
  4. Step 4: Simplify right side
    1,173.53x = 1,051,960.73
  5. Step 5: Solve for x
    x = 1,051,960.73/1,173.53
  6. Step 6: Final answer
    x = 896.41

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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.