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Finding the Fourth Proportional to 1,288.48, 1,932.72 and 639.67

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Solution

The fourth proportional to 1,288.48, 1,932.72 and 639.67 is: 959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.48 : 1,932.72 = 639.67 : x
  2. Step 2: Convert to fraction form
    1,288.48/1,932.72 = 639.67/x
  3. Step 3: Cross multiply
    1,288.48x = 1,932.72 × 639.67
  4. Step 4: Simplify right side
    1,288.48x = 1,236,303.00
  5. Step 5: Solve for x
    x = 1,236,303.00/1,288.48
  6. Step 6: Final answer
    x = 959.51

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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.