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Finding the Fourth Proportional to 1,288.82, 1,933.04 and 423.14

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Solution

The fourth proportional to 1,288.82, 1,933.04 and 423.14 is: 634.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.82 : 1,933.04 = 423.14 : x
  2. Step 2: Convert to fraction form
    1,288.82/1,933.04 = 423.14/x
  3. Step 3: Cross multiply
    1,288.82x = 1,933.04 × 423.14
  4. Step 4: Simplify right side
    1,288.82x = 817,946.55
  5. Step 5: Solve for x
    x = 817,946.55/1,288.82
  6. Step 6: Final answer
    x = 634.65

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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.