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Finding the Fourth Proportional to 1,222.95, 1,834.40 and 492.33

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Solution

The fourth proportional to 1,222.95, 1,834.40 and 492.33 is: 738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.95 : 1,834.40 = 492.33 : x
  2. Step 2: Convert to fraction form
    1,222.95/1,834.40 = 492.33/x
  3. Step 3: Cross multiply
    1,222.95x = 1,834.40 × 492.33
  4. Step 4: Simplify right side
    1,222.95x = 903,125.17
  5. Step 5: Solve for x
    x = 903,125.17/1,222.95
  6. Step 6: Final answer
    x = 738.48

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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.