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Finding the Fourth Proportional to 1,216.32, 1,822.84 and 639.60

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Solution

The fourth proportional to 1,216.32, 1,822.84 and 639.60 is: 958.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.32 : 1,822.84 = 639.60 : x
  2. Step 2: Convert to fraction form
    1,216.32/1,822.84 = 639.60/x
  3. Step 3: Cross multiply
    1,216.32x = 1,822.84 × 639.60
  4. Step 4: Simplify right side
    1,216.32x = 1,165,888.46
  5. Step 5: Solve for x
    x = 1,165,888.46/1,216.32
  6. Step 6: Final answer
    x = 958.54

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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.