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Finding the Fourth Proportional to 1,288.20, 1,930.74 and 556.92

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Solution

The fourth proportional to 1,288.20, 1,930.74 and 556.92 is: 834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.20 : 1,930.74 = 556.92 : x
  2. Step 2: Convert to fraction form
    1,288.20/1,930.74 = 556.92/x
  3. Step 3: Cross multiply
    1,288.20x = 1,930.74 × 556.92
  4. Step 4: Simplify right side
    1,288.20x = 1,075,267.72
  5. Step 5: Solve for x
    x = 1,075,267.72/1,288.20
  6. Step 6: Final answer
    x = 834.71

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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.