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Finding the Fourth Proportional to 1,289.93, 1,935.32 and 412.56

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Solution

The fourth proportional to 1,289.93, 1,935.32 and 412.56 is: 618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.93 : 1,935.32 = 412.56 : x
  2. Step 2: Convert to fraction form
    1,289.93/1,935.32 = 412.56/x
  3. Step 3: Cross multiply
    1,289.93x = 1,935.32 × 412.56
  4. Step 4: Simplify right side
    1,289.93x = 798,433.56
  5. Step 5: Solve for x
    x = 798,433.56/1,289.93
  6. Step 6: Final answer
    x = 618.98

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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.