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Finding the Fourth Proportional to 1,288.63, 1,933.98 and 467.49

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Solution

The fourth proportional to 1,288.63, 1,933.98 and 467.49 is: 701.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.63 : 1,933.98 = 467.49 : x
  2. Step 2: Convert to fraction form
    1,288.63/1,933.98 = 467.49/x
  3. Step 3: Cross multiply
    1,288.63x = 1,933.98 × 467.49
  4. Step 4: Simplify right side
    1,288.63x = 904,116.31
  5. Step 5: Solve for x
    x = 904,116.31/1,288.63
  6. Step 6: Final answer
    x = 701.61

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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.