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Finding the Fourth Proportional to 734.80, 1,101.12 and 670

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Solution

The fourth proportional to 734.80, 1,101.12 and 670 is: 1,004.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.80 : 1,101.12 = 670 : x
  2. Step 2: Convert to fraction form
    734.80/1,101.12 = 670/x
  3. Step 3: Cross multiply
    734.80x = 1,101.12 × 670
  4. Step 4: Simplify right side
    734.80x = 737,750.40
  5. Step 5: Solve for x
    x = 737,750.40/734.80
  6. Step 6: Final answer
    x = 1,004.02

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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.