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Finding the Fourth Proportional to 1,212.64, 1,817.88 and 482.24

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Solution

The fourth proportional to 1,212.64, 1,817.88 and 482.24 is: 722.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.64 : 1,817.88 = 482.24 : x
  2. Step 2: Convert to fraction form
    1,212.64/1,817.88 = 482.24/x
  3. Step 3: Cross multiply
    1,212.64x = 1,817.88 × 482.24
  4. Step 4: Simplify right side
    1,212.64x = 876,654.45
  5. Step 5: Solve for x
    x = 876,654.45/1,212.64
  6. Step 6: Final answer
    x = 722.93

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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.