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Finding the Fourth Proportional to 1,288.60, 1,932.89 and 466.87

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Solution

The fourth proportional to 1,288.60, 1,932.89 and 466.87 is: 700.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.60 : 1,932.89 = 466.87 : x
  2. Step 2: Convert to fraction form
    1,288.60/1,932.89 = 466.87/x
  3. Step 3: Cross multiply
    1,288.60x = 1,932.89 × 466.87
  4. Step 4: Simplify right side
    1,288.60x = 902,404.69
  5. Step 5: Solve for x
    x = 902,404.69/1,288.60
  6. Step 6: Final answer
    x = 700.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.