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Finding the Fourth Proportional to 1,175.38, 1,762.36 and 620.53

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Solution

The fourth proportional to 1,175.38, 1,762.36 and 620.53 is: 930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.38 : 1,762.36 = 620.53 : x
  2. Step 2: Convert to fraction form
    1,175.38/1,762.36 = 620.53/x
  3. Step 3: Cross multiply
    1,175.38x = 1,762.36 × 620.53
  4. Step 4: Simplify right side
    1,175.38x = 1,093,591.29
  5. Step 5: Solve for x
    x = 1,093,591.29/1,175.38
  6. Step 6: Final answer
    x = 930.42

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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.