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Finding the Fourth Proportional to 1,166.46, 1,750.23 and 733.38

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Solution

The fourth proportional to 1,166.46, 1,750.23 and 733.38 is: 1,100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.46 : 1,750.23 = 733.38 : x
  2. Step 2: Convert to fraction form
    1,166.46/1,750.23 = 733.38/x
  3. Step 3: Cross multiply
    1,166.46x = 1,750.23 × 733.38
  4. Step 4: Simplify right side
    1,166.46x = 1,283,583.68
  5. Step 5: Solve for x
    x = 1,283,583.68/1,166.46
  6. Step 6: Final answer
    x = 1,100.41

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1.5x scale

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.