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Finding the Fourth Proportional to 1,173.63, 1,760.36 and 556.41

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Solution

The fourth proportional to 1,173.63, 1,760.36 and 556.41 is: 834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.63 : 1,760.36 = 556.41 : x
  2. Step 2: Convert to fraction form
    1,173.63/1,760.36 = 556.41/x
  3. Step 3: Cross multiply
    1,173.63x = 1,760.36 × 556.41
  4. Step 4: Simplify right side
    1,173.63x = 979,479.13
  5. Step 5: Solve for x
    x = 979,479.13/1,173.63
  6. Step 6: Final answer
    x = 834.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.