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Finding the Fourth Proportional to 1,222.64, 1,832.88 and 492.24

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Solution

The fourth proportional to 1,222.64, 1,832.88 and 492.24 is: 737.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.64 : 1,832.88 = 492.24 : x
  2. Step 2: Convert to fraction form
    1,222.64/1,832.88 = 492.24/x
  3. Step 3: Cross multiply
    1,222.64x = 1,832.88 × 492.24
  4. Step 4: Simplify right side
    1,222.64x = 902,216.85
  5. Step 5: Solve for x
    x = 902,216.85/1,222.64
  6. Step 6: Final answer
    x = 737.93

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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.