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Finding the Fourth Proportional to 1,176.02, 1,763.61 and 559.22

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Solution

The fourth proportional to 1,176.02, 1,763.61 and 559.22 is: 838.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.02 : 1,763.61 = 559.22 : x
  2. Step 2: Convert to fraction form
    1,176.02/1,763.61 = 559.22/x
  3. Step 3: Cross multiply
    1,176.02x = 1,763.61 × 559.22
  4. Step 4: Simplify right side
    1,176.02x = 986,245.98
  5. Step 5: Solve for x
    x = 986,245.98/1,176.02
  6. Step 6: Final answer
    x = 838.63

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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.