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Finding the Fourth Proportional to 1,222.74, 1,830.96 and 782.64

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Solution

The fourth proportional to 1,222.74, 1,830.96 and 782.64 is: 1,171.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.74 : 1,830.96 = 782.64 : x
  2. Step 2: Convert to fraction form
    1,222.74/1,830.96 = 782.64/x
  3. Step 3: Cross multiply
    1,222.74x = 1,830.96 × 782.64
  4. Step 4: Simplify right side
    1,222.74x = 1,432,982.53
  5. Step 5: Solve for x
    x = 1,432,982.53/1,222.74
  6. Step 6: Final answer
    x = 1,171.94

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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.