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Finding the Fourth Proportional to 1,222.52, 1,830.90 and 758.84

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Solution

The fourth proportional to 1,222.52, 1,830.90 and 758.84 is: 1,136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.52 : 1,830.90 = 758.84 : x
  2. Step 2: Convert to fraction form
    1,222.52/1,830.90 = 758.84/x
  3. Step 3: Cross multiply
    1,222.52x = 1,830.90 × 758.84
  4. Step 4: Simplify right side
    1,222.52x = 1,389,360.16
  5. Step 5: Solve for x
    x = 1,389,360.16/1,222.52
  6. Step 6: Final answer
    x = 1,136.47

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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.