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Finding the Fourth Proportional to 1,338.32, 2,007.60 and 568.24

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Solution

The fourth proportional to 1,338.32, 2,007.60 and 568.24 is: 852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.32 : 2,007.60 = 568.24 : x
  2. Step 2: Convert to fraction form
    1,338.32/2,007.60 = 568.24/x
  3. Step 3: Cross multiply
    1,338.32x = 2,007.60 × 568.24
  4. Step 4: Simplify right side
    1,338.32x = 1,140,798.62
  5. Step 5: Solve for x
    x = 1,140,798.62/1,338.32
  6. Step 6: Final answer
    x = 852.41

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