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Finding the Fourth Proportional to 1,338.49, 2,007.72 and 597.90

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Solution

The fourth proportional to 1,338.49, 2,007.72 and 597.90 is: 896.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.49 : 2,007.72 = 597.90 : x
  2. Step 2: Convert to fraction form
    1,338.49/2,007.72 = 597.90/x
  3. Step 3: Cross multiply
    1,338.49x = 2,007.72 × 597.90
  4. Step 4: Simplify right side
    1,338.49x = 1,200,420.81
  5. Step 5: Solve for x
    x = 1,200,420.81/1,338.49
  6. Step 6: Final answer
    x = 896.85

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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.