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Finding the Fourth Proportional to 1,224.32, 1,835.32 and 454.64

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Solution

The fourth proportional to 1,224.32, 1,835.32 and 454.64 is: 681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.32 : 1,835.32 = 454.64 : x
  2. Step 2: Convert to fraction form
    1,224.32/1,835.32 = 454.64/x
  3. Step 3: Cross multiply
    1,224.32x = 1,835.32 × 454.64
  4. Step 4: Simplify right side
    1,224.32x = 834,409.88
  5. Step 5: Solve for x
    x = 834,409.88/1,224.32
  6. Step 6: Final answer
    x = 681.53

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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.