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Finding the Fourth Proportional to 1,338.33, 2,007.57 and 414.53

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Solution

The fourth proportional to 1,338.33, 2,007.57 and 414.53 is: 621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.33 : 2,007.57 = 414.53 : x
  2. Step 2: Convert to fraction form
    1,338.33/2,007.57 = 414.53/x
  3. Step 3: Cross multiply
    1,338.33x = 2,007.57 × 414.53
  4. Step 4: Simplify right side
    1,338.33x = 832,197.04
  5. Step 5: Solve for x
    x = 832,197.04/1,338.33
  6. Step 6: Final answer
    x = 621.82

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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.