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Finding the Fourth Proportional to 1,289.34, 1,933.41 and 467.58

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Solution

The fourth proportional to 1,289.34, 1,933.41 and 467.58 is: 701.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.34 : 1,933.41 = 467.58 : x
  2. Step 2: Convert to fraction form
    1,289.34/1,933.41 = 467.58/x
  3. Step 3: Cross multiply
    1,289.34x = 1,933.41 × 467.58
  4. Step 4: Simplify right side
    1,289.34x = 904,023.85
  5. Step 5: Solve for x
    x = 904,023.85/1,289.34
  6. Step 6: Final answer
    x = 701.15

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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.