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Finding the Fourth Proportional to 1,288.42, 1,933.02 and 467.08

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Solution

The fourth proportional to 1,288.42, 1,933.02 and 467.08 is: 700.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.42 : 1,933.02 = 467.08 : x
  2. Step 2: Convert to fraction form
    1,288.42/1,933.02 = 467.08/x
  3. Step 3: Cross multiply
    1,288.42x = 1,933.02 × 467.08
  4. Step 4: Simplify right side
    1,288.42x = 902,874.98
  5. Step 5: Solve for x
    x = 902,874.98/1,288.42
  6. Step 6: Final answer
    x = 700.76

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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.