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Finding the Fourth Proportional to 1,173.49, 1,619.33 and 649.55

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Solution

The fourth proportional to 1,173.49, 1,619.33 and 649.55 is: 896.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.49 : 1,619.33 = 649.55 : x
  2. Step 2: Convert to fraction form
    1,173.49/1,619.33 = 649.55/x
  3. Step 3: Cross multiply
    1,173.49x = 1,619.33 × 649.55
  4. Step 4: Simplify right side
    1,173.49x = 1,051,836.60
  5. Step 5: Solve for x
    x = 1,051,836.60/1,173.49
  6. Step 6: Final answer
    x = 896.33

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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.