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Finding the Fourth Proportional to 1,338.42, 2,007.63 and 364.68

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Solution

The fourth proportional to 1,338.42, 2,007.63 and 364.68 is: 547.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.42 : 2,007.63 = 364.68 : x
  2. Step 2: Convert to fraction form
    1,338.42/2,007.63 = 364.68/x
  3. Step 3: Cross multiply
    1,338.42x = 2,007.63 × 364.68
  4. Step 4: Simplify right side
    1,338.42x = 732,142.51
  5. Step 5: Solve for x
    x = 732,142.51/1,338.42
  6. Step 6: Final answer
    x = 547.02

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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.